the least common multiple of two numbers is 2cubed x 3 to the fourth power x 5 x 7.the greatest common divisor of the same two numbers is 2 x 3 x 5.one of the numbers is 210.what is the other?
2006-09-02 18:29:45 · 4 answers · asked by nakz 1 in Science & Mathematics ➔ Mathematics
2x2x2x3x3x3x3x5x7 = 22,680 = LCM
2x3x5 = 30 = GCD
one number is 210, the other is 108
Try 1/210 + 1/108 and add them together, and see what denominator you get. To check the divisors, you need the 2's and 3's for both but you need the 5 for the 210, because while it is divisible by 3, it is also divisible by 5, whereas the 108 is only divisible by 2's or 3's or a combination of them.
2006-09-02 18:41:26 · answer #1 · answered by nammy_410 2 · 0⤊ 0⤋
2cube x 3 to th 4th power x 5 x 7=2*2*2*3*3*3*3*5*7
LCM = 2^3*3^4*5*7=22680
GCD=2*3*5=30
LCM*GCD=PRODUCT OF THE 2 NO.
22680*30=210*other number.
other number=22680*30/210=22680/7=3240
2006-09-03 09:11:06 · answer #2 · answered by Anonymous · 0⤊ 0⤋
LCM = 2^3*3^4*5*7=22680
GCD=2*3*5=30
LCM*GCD=PRODUCT OF THE 2 NO.
SO,THE OTHER NO. IS=(22680*30)/210=3240.
2006-09-02 18:43:05 · answer #3 · answered by cutecurious 1 · 0⤊ 0⤋
LCM = 2*2*2**3*3*3*3*5*7 =
LCD = 2*3*5
210 = 2*3*5*7
missing = 2*2*2*3*3*3*3*5 = 3240
2006-09-02 18:59:49 · answer #4 · answered by Helmut 7 · 0⤊ 0⤋