Given numbers are 688,756,943,466

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

The LCM of 688,756,943,466 is 28570501008.

Find LCM of 688,756,943,466 with Prime Factorization

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

2 x 2 x 172 x 189 x 943 x 233 = 28570501008

Therefore, the lowest common multiple of 688,756,943,466 is 28570501008.

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.

688 x 756 x 943 x 466 = 228564008064

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.

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

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

943 : 1, 23, 41, 943

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,756,943,466, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

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

943:23x 41

466:2x 233

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 2 = 8

Therefore, the value for common factors is 8.

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 = 228564008064/(1x8)

LCM = 228564008064/8

LCM = 28570501008

Thus, we can understand that the LCM of 688,756,943,466 is 28570501008.

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

• LCM of 284, 424, 294, 649
• LCM of 582, 188, 544, 514
• LCM of 972, 870, 861, 399
• LCM of 841, 729, 593, 218
• LCM of 609, 618, 354, 393

1. What is the LCM of 688, 756, 943, 466?

Answer: LCM of 688, 756, 943, 466 is 28570501008.

2. How to calculate the LCM of 688, 756, 943, 466?

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 688, 756, 943, 466.

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}.