Given numbers are 456,119,354,416,854

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

The LCM of 456,119,354,416,854 is 10155399072.

Find LCM of 456,119,354,416,854 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 19 x 17 x 59 x 52 x 61 = 10155399072

Therefore, the lowest common multiple of 456,119,354,416,854 is 10155399072.

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.

456 x 119 x 354 x 416 x 854 = 6824428176384

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

119 : 1, 7, 17, 119

354 : 1, 2, 3, 6, 59, 118, 177, 354

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,119,354,416,854, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

119:7x 17

354:2x 3x 59

416:2x 2x 2x 2x 2x 13

854:2x 7x 61

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 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 6824428176384/(1x672)

LCM = 6824428176384/672

LCM = 10155399072

Thus, we can understand that the LCM of 456,119,354,416,854 is 10155399072.

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

• LCM of 180, 613, 617, 190, 824
• LCM of 877, 365, 940, 662, 837
• LCM of 588, 690, 981, 265, 136
• LCM of 335, 758, 673, 663, 222
• LCM of 755, 556, 298, 852, 249

1. What is the LCM of 456, 119, 354, 416, 854?

Answer: LCM of 456, 119, 354, 416, 854 is 10155399072.

2. How to calculate the LCM of 456, 119, 354, 416, 854?

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 456, 119, 354, 416, 854.

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}.