Given numbers are 88,32,27,624

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

The LCM of 88,32,27,624 is 123552.

Find LCM of 88,32,27,624 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 2 x 9 x 13 = 123552

Therefore, the lowest common multiple of 88,32,27,624 is 123552.

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.

88 x 32 x 27 x 624 = 47443968

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.

88 : 1, 2, 4, 8, 11, 22, 44, 88

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

27 : 1, 3, 9, 27

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 88,32,27,624, is 1.

Now, the common factors can be found like this.

88:2x 2x 2x 11

32:2x 2x 2x 2x 2

27:3x 3x 3

624:2x 2x 2x 2x 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 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 47443968/(1x384)

LCM = 47443968/384

LCM = 123552

Thus, we can understand that the LCM of 88,32,27,624 is 123552.

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

• LCM of 62, 56, 23, 576
• LCM of 67, 42, 98, 815
• LCM of 87, 27, 49, 736
• LCM of 70, 60, 76, 125
• LCM of 25, 72, 53, 948

1. What is the LCM of 88, 32, 27, 624?

Answer: LCM of 88, 32, 27, 624 is 123552.

2. How to calculate the LCM of 88, 32, 27, 624?

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 88, 32, 27, 624.

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}.