Given numbers are 928,138,935,306,124

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

The LCM of 928,138,935,306,124 is 5567902560.

Find LCM of 928,138,935,306,124 with Prime Factorization

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

2 x 2 x 3 x 17 x 232 x 23 x 55 x 3 x 31 = 5567902560

Therefore, the lowest common multiple of 928,138,935,306,124 is 5567902560.

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.

928 x 138 x 935 x 306 x 124 = 4543408488960

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

138 : 1, 2, 3, 6, 23, 46, 69, 138

935 : 1, 5, 11, 17, 55, 85, 187, 935

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

124 : 1, 2, 4, 31, 62, 124

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,138,935,306,124, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

138:2x 3x 23

935:5x 11x 17

306:2x 3x 3x 17

124:2x 2x 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 2x 2x 2x 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 4543408488960/(1x816)

LCM = 4543408488960/816

LCM = 5567902560

Thus, we can understand that the LCM of 928,138,935,306,124 is 5567902560.

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

• LCM of 195, 563, 994, 200, 644
• LCM of 491, 425, 161, 637, 712
• LCM of 734, 400, 493, 552, 735
• LCM of 985, 512, 942, 227, 750
• LCM of 644, 156, 948, 575, 398

1. What is the LCM of 928, 138, 935, 306, 124?

Answer: LCM of 928, 138, 935, 306, 124 is 5567902560.

2. How to calculate the LCM of 928, 138, 935, 306, 124?

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 928, 138, 935, 306, 124.

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}.