What are the lowest common multiples of 625, and 30?

Question

Like whta are the lowest common factors of 625 and 30

Answer 1

To find the *Least Common Multiple* of two numbers,
a) figure out their factorization... 625 = 5^4, 30 = 6 x 5.
b) multiply all the non-redundant factors together... 5^4 x 6 = 3750

The "Least Common Multiple," 3750, is the smallest number that is a multiple of both 625 (625 x 6) and 30 (30 x 125). You would use the concept of LCM, for instance, when you need to add two fractions with different denominators, by making each denominator into their LCM (for that reason people also refer to this concept as "Lowest Common Denominator").

To find the *Greatest Common Factor* of two numbers,
a) figure out their factorization... 625 = 5^4, 30 = 6 x 5.
b) find the product of all the common prime factors (in this case just 5)... Greatest Common Factor = 5.

The "Greatest Common Factor," 5, is the largest number that can be divided into both 625 (625 / 5 = 125) and 30 (30 / 5 = 6). You would use the concept of GCF, for example, to decide how to reduce a fraction. If the numerator and denominator have a GCF greater than 1, you would divide both numerator and denominator by the GCF (for this reason, people also refer to this concept as "Greatest Common Divisor").

Answer 2

there is just ONE lowest common multiple of 625 and 30.
multiples of 625 are 2(625) = 1250; 3(625) = 1875; 4(625) = 2500, etc.
multiples of 30 are 2(30) = 60; 3(30) = 90; 4(30) = 120, etc.
eventually, you're going to find numbers that are both multiples of 30 and 625.
the least of these numbers if the one you're looking for.
to get it, factor 625 and 30:
625 = 5 x 5 x 5 x 5
30 = 5 x 6
so the *least* common multiple of 625 and 30 is
5 x 5 x 5 x 5 x 6 = 3750

Answer 3

You're on the right track. Since 625 is 25*25 = 5^4
and 30=5*3*2,
the lowest common multuple needs 5^4 and 3 and 2 as factors,
and that is 625*6

Answer 4

5

Answer 5

No - the *lowest* common factor is 1.
The greatest is 5.

he lowest common multiple is 6*625=3750

Answer 6

5

Answer 7

TAKING gcd
30|625|20
|600|
-
25|30|1
25
-
5|25|5
25
-
0
GCD MEAND GREATEST COMMON FACTOR
FINDING LCM
A X B=LCM X GCD
625 X 30 =5 X LCM
LCM= 625 X30/5
LCM=3750
LCM MEANS LEAST COMMON MULTIPLE
VERIFICATION:-
625 X 30 = 3750 X5
18750 = 18750

Answer 8

625/5 30/2
125/5 15/3
25/5 5/5*
5/5* 1*
1*

so 1*5=5 lowest common multiple

Answer 9

Least common multiple: 3750

Least Common Factor: 5

Answer 10

If you're asking for them together, it's 5. If you're asking for them seprate, 625 is 5 and 30 is 2.