Given numbers are 414,173,676,524

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

The LCM of 414,173,676,524 is 3171278916.

Find LCM of 414,173,676,524 with Prime Factorization

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

2 x 2 x 207 x 173 x 169 x 131 = 3171278916

Therefore, the lowest common multiple of 414,173,676,524 is 3171278916.

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.

414 x 173 x 676 x 524 = 25370231328

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

173 : 1, 173

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,173,676,524, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

173:173

676:2x 2x 13x 13

524:2x 2x 131

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 2 = 8

Therefore, the value for common factors is 8.

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 = 25370231328/(1x8)

LCM = 25370231328/8

LCM = 3171278916

Thus, we can understand that the LCM of 414,173,676,524 is 3171278916.

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

• LCM of 901, 478, 110, 946
• LCM of 137, 653, 904, 488
• LCM of 291, 107, 643, 321
• LCM of 984, 767, 584, 746
• LCM of 808, 741, 325, 930

1. What is the LCM of 414, 173, 676, 524?

Answer: LCM of 414, 173, 676, 524 is 3171278916.

2. How to calculate the LCM of 414, 173, 676, 524?

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 414, 173, 676, 524.

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}.