Given numbers are 130,456,760,862

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

The LCM of 130,456,760,862 is 12774840.

Find LCM of 130,456,760,862 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 13 x 3 x 1 x 431 = 12774840

Therefore, the lowest common multiple of 130,456,760,862 is 12774840.

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.

130 x 456 x 760 x 862 = 38835513600

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

862 : 1, 2, 431, 862

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,456,760,862, is 2.

Now, the common factors can be found like this.

130:2x 5x 13

456:2x 2x 2x 3x 19

760:2x 2x 2x 5x 19

862:2x 431

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 2x 2x 5x 19 = 1520

Therefore, the value for common factors is 1520.

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 = 38835513600/(2x1520)

LCM = 38835513600/3040

LCM = 12774840

Thus, we can understand that the LCM of 130,456,760,862 is 12774840.

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

• LCM of 995, 604, 947, 514
• LCM of 916, 547, 607, 766
• LCM of 869, 175, 426, 696
• LCM of 553, 400, 755, 844
• LCM of 355, 509, 568, 776

1. What is the LCM of 130, 456, 760, 862?

Answer: LCM of 130, 456, 760, 862 is 12774840.

2. How to calculate the LCM of 130, 456, 760, 862?

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 130, 456, 760, 862.

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}.