Given numbers are 461,952,208,540

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

The LCM of 461,952,208,540 is 1540440720.

Find LCM of 461,952,208,540 with Prime Factorization

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

2 x 2 x 2 x 461 x 119 x 26 x 135 = 1540440720

Therefore, the lowest common multiple of 461,952,208,540 is 1540440720.

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.

461 x 952 x 208 x 540 = 49294103040

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.

461 : 1, 461

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,952,208,540, is 1.

Now, the common factors can be found like this.

461:461

952:2x 2x 2x 7x 17

208:2x 2x 2x 2x 13

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 2 = 32

Therefore, the value for common factors is 32.

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 = 49294103040/(1x32)

LCM = 49294103040/32

LCM = 1540440720

Thus, we can understand that the LCM of 461,952,208,540 is 1540440720.

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

• LCM of 573, 371, 928, 666
• LCM of 458, 634, 383, 201
• LCM of 417, 152, 384, 138
• LCM of 461, 691, 864, 510
• LCM of 263, 923, 121, 303

1. What is the LCM of 461, 952, 208, 540?

Answer: LCM of 461, 952, 208, 540 is 1540440720.

2. How to calculate the LCM of 461, 952, 208, 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 461, 952, 208, 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}.