Given numbers are 756,379,693,546

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 756,379,693,546 is 40972932.

Find LCM of 756,379,693,546 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 3 x 7 x 6 x 379 x 11 x 13 = 40972932

Therefore, the lowest common multiple of 756,379,693,546 is 40972932.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

756 x 379 x 693 x 546 = 108414378072

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

379 : 1, 379

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,379,693,546, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

379:379

693:3x 3x 7x 11

546:2x 3x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 7x 7 = 2646

Therefore, the value for common factors is 2646.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 108414378072/(1x2646)

LCM = 108414378072/2646

LCM = 40972932

Thus, we can understand that the LCM of 756,379,693,546 is 40972932.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 487, 813, 708, 251
• LCM of 573, 874, 621, 134
• LCM of 434, 327, 692, 235
• LCM of 139, 977, 283, 929
• LCM of 538, 464, 810, 908

1. What is the LCM of 756, 379, 693, 546?

Answer: LCM of 756, 379, 693, 546 is 40972932.

2. How to calculate the LCM of 756, 379, 693, 546?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 756, 379, 693, 546.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.