Given numbers are 460,127,614,434

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

The LCM of 460,127,614,434 is 3891881980.

Find LCM of 460,127,614,434 with Prime Factorization

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

2 x 230 x 127 x 307 x 217 = 3891881980

Therefore, the lowest common multiple of 460,127,614,434 is 3891881980.

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.

460 x 127 x 614 x 434 = 15567527920

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

127 : 1, 127

614 : 1, 2, 307, 614

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,127,614,434, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

127:127

614:2x 307

434:2x 7x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15567527920/(1x4)

LCM = 15567527920/4

LCM = 3891881980

Thus, we can understand that the LCM of 460,127,614,434 is 3891881980.

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

• LCM of 250, 493, 126, 699
• LCM of 872, 564, 804, 970
• LCM of 695, 418, 565, 220
• LCM of 218, 448, 123, 591
• LCM of 995, 196, 887, 807

1. What is the LCM of 460, 127, 614, 434?

Answer: LCM of 460, 127, 614, 434 is 3891881980.

2. How to calculate the LCM of 460, 127, 614, 434?

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 460, 127, 614, 434.

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}.