Given numbers are 466,528,396,157,117

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

The LCM of 466,528,396,157,117 is 753275952.

Find LCM of 466,528,396,157,117 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 233 x 4 x 1 x 157 x 13 = 753275952

Therefore, the lowest common multiple of 466,528,396,157,117 is 753275952.

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.

466 x 528 x 396 x 157 x 117 = 1789783661952

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.

466 : 1, 2, 233, 466

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

157 : 1, 157

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,528,396,157,117, is 1.

Now, the common factors can be found like this.

466:2x 233

528:2x 2x 2x 2x 3x 11

396:2x 2x 3x 3x 11

157:157

117:3x 3x 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 3x 3x 3x 11 = 2376

Therefore, the value for common factors is 2376.

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 = 1789783661952/(1x2376)

LCM = 1789783661952/2376

LCM = 753275952

Thus, we can understand that the LCM of 466,528,396,157,117 is 753275952.

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

• LCM of 654, 990, 778, 379, 400
• LCM of 403, 856, 808, 706, 550
• LCM of 662, 798, 786, 252, 341
• LCM of 952, 909, 967, 540, 242
• LCM of 194, 785, 519, 111, 667

1. What is the LCM of 466, 528, 396, 157, 117?

Answer: LCM of 466, 528, 396, 157, 117 is 753275952.

2. How to calculate the LCM of 466, 528, 396, 157, 117?

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 466, 528, 396, 157, 117.

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}.