Given numbers are 208,924,956,504

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

The LCM of 208,924,956,504 is 34450416.

Find LCM of 208,924,956,504 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 26 x 11 x 239 x 3 = 34450416

Therefore, the lowest common multiple of 208,924,956,504 is 34450416.

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.

208 x 924 x 956 x 504 = 92602718208

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

956 : 1, 2, 4, 239, 478, 956

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,924,956,504, is 4.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

924:2x 2x 3x 7x 11

956:2x 2x 239

504:2x 2x 2x 3x 3x 7

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 = 92602718208/(4x672)

LCM = 92602718208/2688

LCM = 34450416

Thus, we can understand that the LCM of 208,924,956,504 is 34450416.

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

• LCM of 649, 669, 425, 272
• LCM of 786, 827, 933, 880
• LCM of 625, 627, 841, 440
• LCM of 163, 669, 754, 742
• LCM of 919, 721, 161, 333

1. What is the LCM of 208, 924, 956, 504?

Answer: LCM of 208, 924, 956, 504 is 34450416.

2. How to calculate the LCM of 208, 924, 956, 504?

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 208, 924, 956, 504.

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}.