Given numbers are 504,156,924,349,137

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

The LCM of 504,156,924,349,137 is 3445978536.

Find LCM of 504,156,924,349,137 with Prime Factorization

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

2 x 2 x 3 x 7 x 6 x 13 x 11 x 349 x 137 = 3445978536

Therefore, the lowest common multiple of 504,156,924,349,137 is 3445978536.

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.

504 x 156 x 924 x 349 x 137 = 3473546364288

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.

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

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

349 : 1, 349

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,156,924,349,137, is 1.

Now, the common factors can be found like this.

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

156:2x 2x 3x 13

924:2x 2x 3x 7x 11

349:349

137:137

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 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 3473546364288/(1x1008)

LCM = 3473546364288/1008

LCM = 3445978536

Thus, we can understand that the LCM of 504,156,924,349,137 is 3445978536.

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

• LCM of 880, 282, 369, 797, 466
• LCM of 305, 984, 606, 821, 543
• LCM of 855, 765, 973, 389, 971
• LCM of 411, 910, 495, 744, 824
• LCM of 516, 137, 265, 858, 942

1. What is the LCM of 504, 156, 924, 349, 137?

Answer: LCM of 504, 156, 924, 349, 137 is 3445978536.

2. How to calculate the LCM of 504, 156, 924, 349, 137?

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 504, 156, 924, 349, 137.

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}.