408
34, 68, 102, 136, 170, 204, 238, 272 . . .
Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136 Factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204 Factors of 255: 1, 3, 5, 15, 17, 51, 85, 255 GCF (136, 204, 255) = 17
Factor them. 2 x 2 x 2 x 17 = 136 2 x 2 x 3 x 17 = 204 Select the highest amount of each factor. 2 x 2 x 2 x 3 x 17 = 408, the LCM
The GCF for 102 136 170 is 34.
408
The LCM is 408.
LCM(68, 102) = 204 HCF(68, 102) = 34
34, 68, 102, 136, 170, 204, 238, 272, 306, 340, . . .
The multiples of 68 are 68, 136, 204 and so on. The multiples of 102 are 102, 204, 306 and so on. The common multiples of 68 and 102 are 204, 408, 612 and so on. The LCM is 204.
68 102 136 170 204
34, 68, 102, 136, 170, 204.
34, 68, 102, 136, 170, 204
34, 68, 102, 136, 170, 204, 238, 272 . . .
LCM of 102 and 68 is 204. Write the numbers in prime factorisation in power form; for the LCM multiply together the highest power of each prime across the numbers: 102 = 2 x 3 x 17 68 = 22 x 17 LCM = 22 x 3 x 17 = 204
68, 102, 136, 170, 204, 238, 272, 306, 340...
Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136 Factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204 Factors of 255: 1, 3, 5, 15, 17, 51, 85, 255 GCF (136, 204, 255) = 17