Given numbers are 564,192,128,159

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

The LCM of 564,192,128,159 is 956544.

Find LCM of 564,192,128,159 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 x 1 x 2 x 53 = 956544

Therefore, the lowest common multiple of 564,192,128,159 is 956544.

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.

564 x 192 x 128 x 159 = 2203877376

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

128 : 1, 2, 4, 8, 16, 32, 64, 128

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,192,128,159, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

192:2x 2x 2x 2x 2x 2x 3

128:2x 2x 2x 2x 2x 2x 2

159:3x 53

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 3 = 2304

Therefore, the value for common factors is 2304.

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 = 2203877376/(1x2304)

LCM = 2203877376/2304

LCM = 956544

Thus, we can understand that the LCM of 564,192,128,159 is 956544.

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

• LCM of 540, 851, 188, 185
• LCM of 505, 849, 988, 742
• LCM of 724, 924, 379, 651
• LCM of 774, 397, 156, 978
• LCM of 839, 853, 943, 934

1. What is the LCM of 564, 192, 128, 159?

Answer: LCM of 564, 192, 128, 159 is 956544.

2. How to calculate the LCM of 564, 192, 128, 159?

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 564, 192, 128, 159.

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}.