Given numbers are 426,730,742

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

The LCM of 426,730,742 is 57686790.

Find LCM of 426,730,742 with Prime Factorization

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

2 x 213 x 365 x 371 = 57686790

Therefore, the lowest common multiple of 426,730,742 is 57686790.

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 730 x 742 = 230747160

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

730 : 1, 2, 5, 10, 73, 146, 365, 730

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,730,742, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

730:2x 5x 73

742:2x 7x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 230747160/(2x2)

LCM = 230747160/4

LCM = 57686790

Thus, we can understand that the LCM of 426,730,742 is 57686790.

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

• LCM of 972, 787, 837
• LCM of 355, 564, 834
• LCM of 747, 436, 470
• LCM of 928, 137, 339
• LCM of 511, 181, 880

1. What is the LCM of 426, 730, 742?

Answer: LCM of 426, 730, 742 is 57686790.

2. How to calculate the LCM of 426, 730, 742?

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, 730, 742.

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}.