Given numbers are 924,341,109,702,478

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

The LCM of 924,341,109,702,478 is 87305966748.

Find LCM of 924,341,109,702,478 with Prime Factorization

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

2 x 3 x 11 x 14 x 31 x 109 x 117 x 239 = 87305966748

Therefore, the lowest common multiple of 924,341,109,702,478 is 87305966748.

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 341 x 109 x 702 x 478 = 11524387610736

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

341 : 1, 11, 31, 341

109 : 1, 109

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,341,109,702,478, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

341:11x 31

109:109

702:2x 3x 3x 3x 13

478:2x 239

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 11524387610736/(1x132)

LCM = 11524387610736/132

LCM = 87305966748

Thus, we can understand that the LCM of 924,341,109,702,478 is 87305966748.

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

• LCM of 458, 356, 337, 559, 668
• LCM of 783, 227, 988, 720, 438
• LCM of 906, 211, 467, 750, 193
• LCM of 780, 158, 431, 117, 144
• LCM of 344, 202, 669, 326, 923

1. What is the LCM of 924, 341, 109, 702, 478?

Answer: LCM of 924, 341, 109, 702, 478 is 87305966748.

2. How to calculate the LCM of 924, 341, 109, 702, 478?

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, 341, 109, 702, 478.

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}.