Given numbers are 676,107,616,910,110

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

The LCM of 676,107,616,910,110 is 55695640.

Find LCM of 676,107,616,910,110 with Prime Factorization

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

2 x 2 x 5 x 7 x 11 x 13 x 1 x 107 x 2 x 13 x 1 = 55695640

Therefore, the lowest common multiple of 676,107,616,910,110 is 55695640.

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.

676 x 107 x 616 x 910 x 110 = 4460106851200

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

107 : 1, 107

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,107,616,910,110, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

107:107

616:2x 2x 2x 7x 11

910:2x 5x 7x 13

110:2x 5x 11

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 2x 5x 7x 11x 13 = 80080

Therefore, the value for common factors is 80080.

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 = 4460106851200/(1x80080)

LCM = 4460106851200/80080

LCM = 55695640

Thus, we can understand that the LCM of 676,107,616,910,110 is 55695640.

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

• LCM of 629, 250, 725, 662, 932
• LCM of 373, 316, 457, 282, 628
• LCM of 181, 811, 416, 639, 532
• LCM of 228, 977, 672, 141, 308
• LCM of 134, 119, 718, 854, 433

1. What is the LCM of 676, 107, 616, 910, 110?

Answer: LCM of 676, 107, 616, 910, 110 is 55695640.

2. How to calculate the LCM of 676, 107, 616, 910, 110?

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 676, 107, 616, 910, 110.

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}.