Given numbers are 103,462,537,324,924

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

The LCM of 103,462,537,324,924 is 459966276.

Find LCM of 103,462,537,324,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 103 x 1 x 179 x 27 x 1 = 459966276

Therefore, the lowest common multiple of 103,462,537,324,924 is 459966276.

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.

103 x 462 x 537 x 324 x 924 = 7650159102432

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.

103 : 1, 103

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

537 : 1, 3, 179, 537

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,462,537,324,924, is 1.

Now, the common factors can be found like this.

103:103

462:2x 3x 7x 11

537:3x 179

324:2x 2x 3x 3x 3x 3

924:2x 2x 3x 7x 11

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 3x 3x 3x 7x 11 = 16632

Therefore, the value for common factors is 16632.

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 = 7650159102432/(1x16632)

LCM = 7650159102432/16632

LCM = 459966276

Thus, we can understand that the LCM of 103,462,537,324,924 is 459966276.

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

• LCM of 550, 488, 778, 292, 618
• LCM of 111, 476, 784, 395, 609
• LCM of 813, 637, 179, 671, 379
• LCM of 853, 666, 763, 576, 541
• LCM of 461, 182, 553, 392, 501

1. What is the LCM of 103, 462, 537, 324, 924?

Answer: LCM of 103, 462, 537, 324, 924 is 459966276.

2. How to calculate the LCM of 103, 462, 537, 324, 924?

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 103, 462, 537, 324, 924.

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}.