Given numbers are 219,336,948,220,528

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

The LCM of 219,336,948,220,528 is 106574160.

Find LCM of 219,336,948,220,528 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 73 x 7 x 79 x 5 x 1 = 106574160

Therefore, the lowest common multiple of 219,336,948,220,528 is 106574160.

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.

219 x 336 x 948 x 220 x 528 = 8103046533120

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.

219 : 1, 3, 73, 219

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,336,948,220,528, is 1.

Now, the common factors can be found like this.

219:3x 73

336:2x 2x 2x 2x 3x 7

948:2x 2x 3x 79

220:2x 2x 5x 11

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

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 2x 2x 2x 2x 2x 3x 3x 3x 11 = 76032

Therefore, the value for common factors is 76032.

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 = 8103046533120/(1x76032)

LCM = 8103046533120/76032

LCM = 106574160

Thus, we can understand that the LCM of 219,336,948,220,528 is 106574160.

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

• LCM of 364, 949, 595, 155, 572
• LCM of 267, 824, 138, 827, 839
• LCM of 662, 879, 383, 410, 601
• LCM of 109, 826, 869, 833, 400
• LCM of 681, 945, 662, 587, 737

1. What is the LCM of 219, 336, 948, 220, 528?

Answer: LCM of 219, 336, 948, 220, 528 is 106574160.

2. How to calculate the LCM of 219, 336, 948, 220, 528?

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 219, 336, 948, 220, 528.

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}.