Given numbers are 218,157,157,376,676

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

The LCM of 218,157,157,376,676 is 1087428472.

Find LCM of 218,157,157,376,676 with Prime Factorization

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

2 x 2 x 157 x 109 x 1 x 1 x 94 x 169 = 1087428472

Therefore, the lowest common multiple of 218,157,157,376,676 is 1087428472.

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.

218 x 157 x 157 x 376 x 676 = 1365810160832

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.

218 : 1, 2, 109, 218

157 : 1, 157

157 : 1, 157

376 : 1, 2, 4, 8, 47, 94, 188, 376

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,157,157,376,676, is 1.

Now, the common factors can be found like this.

218:2x 109

157:157

157:157

376:2x 2x 2x 47

676:2x 2x 13x 13

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 157 = 1256

Therefore, the value for common factors is 1256.

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 = 1365810160832/(1x1256)

LCM = 1365810160832/1256

LCM = 1087428472

Thus, we can understand that the LCM of 218,157,157,376,676 is 1087428472.

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

• LCM of 814, 880, 564, 632, 945
• LCM of 210, 413, 602, 845, 168
• LCM of 275, 907, 811, 764, 341
• LCM of 253, 164, 466, 178, 935
• LCM of 858, 352, 364, 756, 960

1. What is the LCM of 218, 157, 157, 376, 676?

Answer: LCM of 218, 157, 157, 376, 676 is 1087428472.

2. How to calculate the LCM of 218, 157, 157, 376, 676?

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 218, 157, 157, 376, 676.

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}.