Given numbers are 393,491,724,917

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

The LCM of 393,491,724,917 is 977936484.

Find LCM of 393,491,724,917 with Prime Factorization

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

131 x 3 x 491 x 724 x 7 = 977936484

Therefore, the lowest common multiple of 393,491,724,917 is 977936484.

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.

393 x 491 x 724 x 917 = 128109679404

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.

393 : 1, 3, 131, 393

491 : 1, 491

724 : 1, 2, 4, 181, 362, 724

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,491,724,917, is 1.

Now, the common factors can be found like this.

393:3x 131

491:491

724:2x 2x 181

917:7x 131

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

131 = 131

Therefore, the value for common factors is 131.

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 = 128109679404/(1x131)

LCM = 128109679404/131

LCM = 977936484

Thus, we can understand that the LCM of 393,491,724,917 is 977936484.

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

• LCM of 921, 801, 743, 560
• LCM of 635, 883, 737, 443
• LCM of 518, 689, 264, 650
• LCM of 396, 622, 441, 988
• LCM of 970, 207, 318, 715

1. What is the LCM of 393, 491, 724, 917?

Answer: LCM of 393, 491, 724, 917 is 977936484.

2. How to calculate the LCM of 393, 491, 724, 917?

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 393, 491, 724, 917.

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}.