Given numbers are 532,414,128,836,624

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

The LCM of 532,414,128,836,624 is 503927424.

Find LCM of 532,414,128,836,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 19 x 7 x 69 x 8 x 11 x 13 = 503927424

Therefore, the lowest common multiple of 532,414,128,836,624 is 503927424.

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.

532 x 414 x 128 x 836 x 624 = 14706617942016

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.

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

128 : 1, 2, 4, 8, 16, 32, 64, 128

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,414,128,836,624, is 2.

Now, the common factors can be found like this.

532:2x 2x 7x 19

414:2x 3x 3x 23

128:2x 2x 2x 2x 2x 2x 2

836:2x 2x 11x 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 2x 2x 2x 3x 19 = 14592

Therefore, the value for common factors is 14592.

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 = 14706617942016/(2x14592)

LCM = 14706617942016/29184

LCM = 503927424

Thus, we can understand that the LCM of 532,414,128,836,624 is 503927424.

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

• LCM of 719, 844, 981, 977, 428
• LCM of 184, 128, 424, 360, 204
• LCM of 867, 801, 103, 498, 224
• LCM of 228, 603, 297, 905, 759
• LCM of 261, 931, 347, 811, 822

1. What is the LCM of 532, 414, 128, 836, 624?

Answer: LCM of 532, 414, 128, 836, 624 is 503927424.

2. How to calculate the LCM of 532, 414, 128, 836, 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 532, 414, 128, 836, 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}.