Given numbers are 828,952,532,624

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

The LCM of 828,952,532,624 is 97349616.

Find LCM of 828,952,532,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 69 x 17 x 19 x 26 = 97349616

Therefore, the lowest common multiple of 828,952,532,624 is 97349616.

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.

828 x 952 x 532 x 624 = 261675767808

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,952,532,624, is 4.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

952:2x 2x 2x 7x 17

532:2x 2x 7x 19

624:2x 2x 2x 2x 3x 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 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 = 261675767808/(4x672)

LCM = 261675767808/2688

LCM = 97349616

Thus, we can understand that the LCM of 828,952,532,624 is 97349616.

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

• LCM of 916, 689, 869, 917
• LCM of 680, 140, 783, 172
• LCM of 100, 494, 266, 334
• LCM of 127, 247, 156, 335
• LCM of 144, 828, 625, 886

1. What is the LCM of 828, 952, 532, 624?

Answer: LCM of 828, 952, 532, 624 is 97349616.

2. How to calculate the LCM of 828, 952, 532, 624?

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 828, 952, 532, 624.

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}.