Given numbers are 924,960,413,652,754

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

The LCM of 924,960,413,652,754 is 268005017280.

Find LCM of 924,960,413,652,754 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 80 x 59 x 163 x 377 = 268005017280

Therefore, the lowest common multiple of 924,960,413,652,754 is 268005017280.

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.

924 x 960 x 413 x 652 x 754 = 180099371612160

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

413 : 1, 7, 59, 413

652 : 1, 2, 4, 163, 326, 652

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,960,413,652,754, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

960:2x 2x 2x 2x 2x 2x 3x 5

413:7x 59

652:2x 2x 163

754:2x 13x 29

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 = 180099371612160/(1x672)

LCM = 180099371612160/672

LCM = 268005017280

Thus, we can understand that the LCM of 924,960,413,652,754 is 268005017280.

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

• LCM of 693, 427, 458, 947, 852
• LCM of 846, 280, 811, 415, 545
• LCM of 926, 586, 517, 803, 976
• LCM of 906, 883, 300, 561, 255
• LCM of 996, 377, 593, 521, 686

1. What is the LCM of 924, 960, 413, 652, 754?

Answer: LCM of 924, 960, 413, 652, 754 is 268005017280.

2. How to calculate the LCM of 924, 960, 413, 652, 754?

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 924, 960, 413, 652, 754.

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}.