Given numbers are 144,696,468,167,572

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

The LCM of 144,696,468,167,572 is 99727056.

Find LCM of 144,696,468,167,572 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 2 x 29 x 1 x 167 x 11 = 99727056

Therefore, the lowest common multiple of 144,696,468,167,572 is 99727056.

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.

144 x 696 x 468 x 167 x 572 = 4480537171968

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

167 : 1, 167

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,696,468,167,572, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

696:2x 2x 2x 3x 29

468:2x 2x 3x 3x 13

167:167

572:2x 2x 11x 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 2x 2x 2x 2x 3x 3x 3x 13 = 44928

Therefore, the value for common factors is 44928.

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 = 4480537171968/(1x44928)

LCM = 4480537171968/44928

LCM = 99727056

Thus, we can understand that the LCM of 144,696,468,167,572 is 99727056.

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

• LCM of 146, 964, 781, 540, 196
• LCM of 928, 205, 361, 589, 812
• LCM of 337, 643, 751, 989, 612
• LCM of 385, 530, 213, 857, 942
• LCM of 762, 663, 294, 991, 519

1. What is the LCM of 144, 696, 468, 167, 572?

Answer: LCM of 144, 696, 468, 167, 572 is 99727056.

2. How to calculate the LCM of 144, 696, 468, 167, 572?

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 144, 696, 468, 167, 572.

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}.