Given numbers are 208,756,961,694

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

The LCM of 208,756,961,694 is 13109254704.

Find LCM of 208,756,961,694 with Prime Factorization

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

2 x 2 x 52 x 189 x 961 x 347 = 13109254704

Therefore, the lowest common multiple of 208,756,961,694 is 13109254704.

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.

208 x 756 x 961 x 694 = 104874037632

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

961 : 1, 31, 961

694 : 1, 2, 347, 694

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,756,961,694, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

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

961:31x 31

694:2x 347

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 = 104874037632/(1x8)

LCM = 104874037632/8

LCM = 13109254704

Thus, we can understand that the LCM of 208,756,961,694 is 13109254704.

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

• LCM of 942, 409, 801, 237
• LCM of 743, 298, 854, 626
• LCM of 700, 455, 591, 600
• LCM of 683, 383, 279, 638
• LCM of 736, 931, 753, 491

1. What is the LCM of 208, 756, 961, 694?

Answer: LCM of 208, 756, 961, 694 is 13109254704.

2. How to calculate the LCM of 208, 756, 961, 694?

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 208, 756, 961, 694.

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}.