Given numbers are 352,952,966,540

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

The LCM of 352,952,966,540 is 130062240.

Find LCM of 352,952,966,540 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 44 x 17 x 23 x 45 = 130062240

Therefore, the lowest common multiple of 352,952,966,540 is 130062240.

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.

352 x 952 x 966 x 540 = 174803650560

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,952,966,540, is 2.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

952:2x 2x 2x 7x 17

966:2x 3x 7x 23

540:2x 2x 3x 3x 3x 5

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 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 174803650560/(2x672)

LCM = 174803650560/1344

LCM = 130062240

Thus, we can understand that the LCM of 352,952,966,540 is 130062240.

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

• LCM of 451, 453, 494, 514
• LCM of 417, 731, 661, 464
• LCM of 601, 817, 807, 267
• LCM of 540, 819, 171, 902
• LCM of 519, 200, 625, 613

1. What is the LCM of 352, 952, 966, 540?

Answer: LCM of 352, 952, 966, 540 is 130062240.

2. How to calculate the LCM of 352, 952, 966, 540?

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 352, 952, 966, 540.

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}.