Given numbers are 715,478,407,742

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

The LCM of 715,478,407,742 is 4691476790.

Find LCM of 715,478,407,742 with Prime Factorization

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

2 x 11 x 65 x 239 x 37 x 371 = 4691476790

Therefore, the lowest common multiple of 715,478,407,742 is 4691476790.

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.

715 x 478 x 407 x 742 = 103212489380

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

478 : 1, 2, 239, 478

407 : 1, 11, 37, 407

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,478,407,742, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

478:2x 239

407:11x 37

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.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 103212489380/(1x22)

LCM = 103212489380/22

LCM = 4691476790

Thus, we can understand that the LCM of 715,478,407,742 is 4691476790.

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

• LCM of 501, 898, 979, 791
• LCM of 600, 366, 384, 444
• LCM of 649, 112, 976, 266
• LCM of 773, 757, 167, 841
• LCM of 896, 765, 411, 949

1. What is the LCM of 715, 478, 407, 742?

Answer: LCM of 715, 478, 407, 742 is 4691476790.

2. How to calculate the LCM of 715, 478, 407, 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 715, 478, 407, 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}.