Given numbers are 657,410,517,338,164

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

The LCM of 657,410,517,338,164 is 47071330020.

Find LCM of 657,410,517,338,164 with Prime Factorization

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

2 x 41 x 657 x 5 x 517 x 169 x 2 = 47071330020

Therefore, the lowest common multiple of 657,410,517,338,164 is 47071330020.

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.

657 x 410 x 517 x 338 x 164 = 7719698123280

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.

657 : 1, 3, 9, 73, 219, 657

410 : 1, 2, 5, 10, 41, 82, 205, 410

517 : 1, 11, 47, 517

338 : 1, 2, 13, 26, 169, 338

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,410,517,338,164, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

410:2x 5x 41

517:11x 47

338:2x 13x 13

164:2x 2x 41

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 41 = 164

Therefore, the value for common factors is 164.

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 = 7719698123280/(1x164)

LCM = 7719698123280/164

LCM = 47071330020

Thus, we can understand that the LCM of 657,410,517,338,164 is 47071330020.

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

• LCM of 224, 957, 155, 148, 903
• LCM of 122, 490, 680, 579, 281
• LCM of 779, 482, 653, 213, 663
• LCM of 998, 850, 835, 439, 158
• LCM of 407, 823, 608, 616, 290

1. What is the LCM of 657, 410, 517, 338, 164?

Answer: LCM of 657, 410, 517, 338, 164 is 47071330020.

2. How to calculate the LCM of 657, 410, 517, 338, 164?

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 657, 410, 517, 338, 164.

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}.