LCM of 126 and 54 is 378

In mathematics, least common multiple which is commonly known as LCM is defined as the smallest non-zero number which is divisible by both given numbers 126 and 54.

- LCM follows associative property, that means LCM(126, 54) = LCM(54, 126).
- LCM follows commutative property, which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
- LCM follows distributive property, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
- The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 126 and 54 is 378, where 126 and 54 are less than 378.
- The LCM of two or more prime numbers is their product.

- Find some first multiples of 126 and 54.
- Find the least common multiple, and read off the answer!

- Multiples of
**126: 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, 1386, 1512, 1638, 1764, 1890, 2016, 2142, 2268, 2394, 2520, 2646, 2772, 2898, 3024, 3150, 3276, 3402, 3528, 3654, 3780, 3906, 4032, 4158, 4284, 4410, 4536, 4662, 4788, 4914, 5040, 5166, 5292, 5418, 5544, 5670, 5796, 5922, 6048, 6174, 6300, 6426, 6552, 6678, 6804** - Multiples of
**54: 54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188, 1242, 1296, 1350, 1404, 1458, 1512, 1566, 1620, 1674, 1728, 1782, 1836, 1890, 1944, 1998, 2052, 2106, 2160, 2214, 2268, 2322, 2376, 2430, 2484, 2538, 2592, 2646, 2700, 2754, 2808, 2862, 2916, 2970, 3024, 3078, 3132, 3186, 3240, 3294, 3348, 3402, 3456, 3510, 3564, 3618, 3672, 3726, 3780, 3834, 3888, 3942, 3996, 4050, 4104, 4158, 4212, 4266, 4320, 4374, 4428, 4482, 4536, 4590, 4644, 4698, 4752, 4806, 4860, 4914, 4968, 5022, 5076, 5130, 5184, 5238, 5292, 5346, 5400, 5454, 5508, 5562, 5616, 5670, 5724, 5778, 5832, 5886, 5940, 5994, 6048, 6102, 6156, 6210, 6264, 6318, 6372, 6426, 6480, 6534, 6588, 6642, 6696, 6750, 6804**

Hence, LCM of
*126* and *54* is **378**.

- Find all the prime numbers that would divide 126 and 54 without leaving any remainder.
- Multiply the numbers obtained in step 1, and read off the answer!

2 | 126 54 |

3 | 63 27 |

3 | 21 9 |

3 | 7 3 |

7 | 7 1 |

1 1 |

Hence, LCM of
*126* and *54* is **2 x 3 x 3 x 3 x 7 = 378**.

- The formula for LCM is LCM (126, 54) = (126 x 54) / GCF (126, 54)
- Apply the formula, and read off the answer!

- GCF of
**126 and 54 = 18** - LCM of
**126 and 54 = (126 x 54) / 18** **=> 6804 / 18**

Hence, LCM of
*126* and *54* is **378**.

Franky and Joy are running on a circular track. They take 126 and 54 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 126 and 54.

So, LCM of 126 and 54 is 378.

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 126 and 54.

So, LCM of 126 and 54 is 378.

Given that the cricket team plays every 126 days and the basketball team plays every 54 days, so for finding the next time when both teams will play again we need to find the LCM of 126 and 54.

So, LCM of 126 and 54 is 378.

To find the least number of days that would be taken to be able to save the same amount of dollars we need to find the LCM of 126 and 54.

So, LCM of 126 and 54 is 378.

To find the least height in feet at which the two piles will be at same height we will find LCM of 126 and 54.

So, LCM of 126 and 54 is 378.

To find the least number of textbooks that each company could have printed we need to find the LCM of 126 and 54.

So, LCM of 126 and 54 is 378.

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.

So, LCM of 126 and 54 is 378.