Question

find the LCM of 360, 120 and 336​

Answer 1

Answer:

5040

Step-by-step explanation:

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 120:

120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200, 1320, 1440, 1560, 1680, 1800, 1920, 2040, 2160, 2280, 2400, 2520, 2640, 2760, 2880, 3000, 3120, 3240, 3360, 3480, 3600, 3720, 3840, 3960, 4080, 4200, 4320, 4440, 4560, 4680, 4800, 4920, 5040, 5160, 5280

Multiples of 336:

336, 672, 1008, 1344, 1680, 2016, 2352, 2688, 3024, 3360, 3696, 4032, 4368, 4704, 5040, 5376, 5712

Multiples of 360:

360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240, 3600, 3960, 4320, 4680, 5040, 5400, 5760

Therefore,

LCM(120, 336, 360) = 5040

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Answer 2

Answer:

Find the prime factorization of 336 336 = 2 x 2 * 2 x 2 x 3x7

ii. Find the prime factorization of 360 360 = 2 x 2 x 2 x 3 x 3 x 5

i. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 x 2 x 2 x2 x 3 x 3 x 5 x 7

iv. LCM = 5040