Given numbers are 314,412,963,790,130

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

The LCM of 314,412,963,790,130 is 319862703420.

Find LCM of 314,412,963,790,130 with Prime Factorization

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

2 x 5 x 157 x 206 x 963 x 79 x 13 = 319862703420

Therefore, the lowest common multiple of 314,412,963,790,130 is 319862703420.

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.

314 x 412 x 963 x 790 x 130 = 12794508136800

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.

314 : 1, 2, 157, 314

412 : 1, 2, 4, 103, 206, 412

963 : 1, 3, 9, 107, 321, 963

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,412,963,790,130, is 1.

Now, the common factors can be found like this.

314:2x 157

412:2x 2x 103

963:3x 3x 107

790:2x 5x 79

130:2x 5x 13

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 5 = 40

Therefore, the value for common factors is 40.

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 = 12794508136800/(1x40)

LCM = 12794508136800/40

LCM = 319862703420

Thus, we can understand that the LCM of 314,412,963,790,130 is 319862703420.

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

• LCM of 619, 314, 904, 500, 516
• LCM of 827, 731, 524, 359, 538
• LCM of 297, 470, 739, 577, 778
• LCM of 896, 632, 894, 469, 742
• LCM of 584, 899, 691, 306, 731

1. What is the LCM of 314, 412, 963, 790, 130?

Answer: LCM of 314, 412, 963, 790, 130 is 319862703420.

2. How to calculate the LCM of 314, 412, 963, 790, 130?

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 314, 412, 963, 790, 130.

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}.