Given numbers are 407,169,715,278

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

The LCM of 407,169,715,278 is 95608370.

Find LCM of 407,169,715,278 with Prime Factorization

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

11 x 13 x 37 x 13 x 5 x 278 = 95608370

Therefore, the lowest common multiple of 407,169,715,278 is 95608370.

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.

407 x 169 x 715 x 278 = 13671996910

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.

407 : 1, 11, 37, 407

169 : 1, 13, 169

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

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,169,715,278, is 1.

Now, the common factors can be found like this.

407:11x 37

169:13x 13

715:5x 11x 13

278:2x 139

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 13671996910/(1x143)

LCM = 13671996910/143

LCM = 95608370

Thus, we can understand that the LCM of 407,169,715,278 is 95608370.

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

• LCM of 138, 892, 645, 297
• LCM of 420, 390, 601, 466
• LCM of 270, 522, 687, 554
• LCM of 690, 150, 455, 123
• LCM of 985, 755, 149, 125

1. What is the LCM of 407, 169, 715, 278?

Answer: LCM of 407, 169, 715, 278 is 95608370.

2. How to calculate the LCM of 407, 169, 715, 278?

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 407, 169, 715, 278.

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}.