Given numbers are 547,169,113,756,345

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

The LCM of 547,169,113,756,345 is 908180369460.

Find LCM of 547,169,113,756,345 with Prime Factorization

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

3 x 547 x 169 x 113 x 252 x 115 = 908180369460

Therefore, the lowest common multiple of 547,169,113,756,345 is 908180369460.

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.

547 x 169 x 113 x 756 x 345 = 2724541108380

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.

547 : 1, 547

169 : 1, 13, 169

113 : 1, 113

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,169,113,756,345, is 1.

Now, the common factors can be found like this.

547:547

169:13x 13

113:113

756:2x 2x 3x 3x 3x 7

345:3x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 2724541108380/(1x3)

LCM = 2724541108380/3

LCM = 908180369460

Thus, we can understand that the LCM of 547,169,113,756,345 is 908180369460.

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

• LCM of 640, 101, 614, 962, 295
• LCM of 151, 237, 701, 186, 605
• LCM of 906, 623, 918, 632, 800
• LCM of 137, 317, 532, 736, 661
• LCM of 838, 181, 282, 722, 918

1. What is the LCM of 547, 169, 113, 756, 345?

Answer: LCM of 547, 169, 113, 756, 345 is 908180369460.

2. How to calculate the LCM of 547, 169, 113, 756, 345?

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 547, 169, 113, 756, 345.

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}.