Given numbers are 577,217,217,187,113

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

The LCM of 577,217,217,187,113 is 2645791379.

Find LCM of 577,217,217,187,113 with Prime Factorization

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

7 x 31 x 577 x 1 x 1 x 187 x 113 = 2645791379

Therefore, the lowest common multiple of 577,217,217,187,113 is 2645791379.

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.

577 x 217 x 217 x 187 x 113 = 574136729243

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.

577 : 1, 577

217 : 1, 7, 31, 217

217 : 1, 7, 31, 217

187 : 1, 11, 17, 187

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,217,217,187,113, is 1.

Now, the common factors can be found like this.

577:577

217:7x 31

217:7x 31

187:11x 17

113:113

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

7x 31 = 217

Therefore, the value for common factors is 217.

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 = 574136729243/(1x217)

LCM = 574136729243/217

LCM = 2645791379

Thus, we can understand that the LCM of 577,217,217,187,113 is 2645791379.

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

• LCM of 718, 796, 291, 783, 932
• LCM of 971, 528, 453, 132, 765
• LCM of 231, 469, 601, 841, 292
• LCM of 146, 734, 974, 511, 114
• LCM of 616, 801, 253, 516, 593

1. What is the LCM of 577, 217, 217, 187, 113?

Answer: LCM of 577, 217, 217, 187, 113 is 2645791379.

2. How to calculate the LCM of 577, 217, 217, 187, 113?

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 577, 217, 217, 187, 113.

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}.