Given numbers are 756,643,910,688

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

The LCM of 756,643,910,688 is 5434687440.

Find LCM of 756,643,910,688 with Prime Factorization

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

2 x 2 x 7 x 27 x 643 x 65 x 172 = 5434687440

Therefore, the lowest common multiple of 756,643,910,688 is 5434687440.

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 643 x 910 x 688 = 304342496640

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

643 : 1, 643

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,643,910,688, is 1.

Now, the common factors can be found like this.

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

643:643

910:2x 5x 7x 13

688:2x 2x 2x 2x 43

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

2x 2x 2x 7 = 56

Therefore, the value for common factors is 56.

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 = 304342496640/(1x56)

LCM = 304342496640/56

LCM = 5434687440

Thus, we can understand that the LCM of 756,643,910,688 is 5434687440.

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

• LCM of 707, 944, 929, 613
• LCM of 360, 593, 640, 931
• LCM of 993, 226, 349, 333
• LCM of 237, 544, 852, 431
• LCM of 137, 660, 175, 757

1. What is the LCM of 756, 643, 910, 688?

Answer: LCM of 756, 643, 910, 688 is 5434687440.

2. How to calculate the LCM of 756, 643, 910, 688?

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, 643, 910, 688.

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}.