Given numbers are 426,217,314,916

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

The LCM of 426,217,314,916 is 6647134452.

Find LCM of 426,217,314,916 with Prime Factorization

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

2 x 213 x 217 x 157 x 458 = 6647134452

Therefore, the lowest common multiple of 426,217,314,916 is 6647134452.

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.

426 x 217 x 314 x 916 = 26588537808

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

217 : 1, 7, 31, 217

314 : 1, 2, 157, 314

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,217,314,916, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

217:7x 31

314:2x 157

916:2x 2x 229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 26588537808/(1x4)

LCM = 26588537808/4

LCM = 6647134452

Thus, we can understand that the LCM of 426,217,314,916 is 6647134452.

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

• LCM of 629, 723, 331, 563
• LCM of 496, 102, 561, 468
• LCM of 690, 597, 938, 465
• LCM of 345, 537, 785, 405
• LCM of 712, 149, 633, 762

1. What is the LCM of 426, 217, 314, 916?

Answer: LCM of 426, 217, 314, 916 is 6647134452.

2. How to calculate the LCM of 426, 217, 314, 916?

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 426, 217, 314, 916.

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}.