Given numbers are 464,118,327,146,374

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

The LCM of 464,118,327,146,374 is 122203096752.

Find LCM of 464,118,327,146,374 with Prime Factorization

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

2 x 232 x 59 x 327 x 73 x 187 = 122203096752

Therefore, the lowest common multiple of 464,118,327,146,374 is 122203096752.

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.

464 x 118 x 327 x 146 x 374 = 977624774016

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

118 : 1, 2, 59, 118

327 : 1, 3, 109, 327

146 : 1, 2, 73, 146

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,118,327,146,374, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

118:2x 59

327:3x 109

146:2x 73

374:2x 11x 17

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 = 977624774016/(1x8)

LCM = 977624774016/8

LCM = 122203096752

Thus, we can understand that the LCM of 464,118,327,146,374 is 122203096752.

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

• LCM of 786, 613, 309, 279, 144
• LCM of 833, 699, 531, 905, 794
• LCM of 681, 925, 879, 721, 742
• LCM of 861, 485, 260, 497, 504
• LCM of 838, 312, 961, 336, 479

1. What is the LCM of 464, 118, 327, 146, 374?

Answer: LCM of 464, 118, 327, 146, 374 is 122203096752.

2. How to calculate the LCM of 464, 118, 327, 146, 374?

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 464, 118, 327, 146, 374.

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}.