Given numbers are 101,208,431,624

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

The LCM of 101,208,431,624 is 27163344.

Find LCM of 101,208,431,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 101 x 1 x 431 x 3 = 27163344

Therefore, the lowest common multiple of 101,208,431,624 is 27163344.

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.

101 x 208 x 431 x 624 = 5649975552

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.

101 : 1, 101

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

431 : 1, 431

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 101,208,431,624, is 1.

Now, the common factors can be found like this.

101:101

208:2x 2x 2x 2x 13

431:431

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 13 = 208

Therefore, the value for common factors is 208.

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 = 5649975552/(1x208)

LCM = 5649975552/208

LCM = 27163344

Thus, we can understand that the LCM of 101,208,431,624 is 27163344.

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

• LCM of 348, 974, 167, 150
• LCM of 753, 329, 184, 915
• LCM of 386, 324, 719, 995
• LCM of 394, 760, 813, 136
• LCM of 196, 166, 789, 472

1. What is the LCM of 101, 208, 431, 624?

Answer: LCM of 101, 208, 431, 624 is 27163344.

2. How to calculate the LCM of 101, 208, 431, 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 101, 208, 431, 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}.