Given numbers are 174,681,780,399,924

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

The LCM of 174,681,780,399,924 is 7512124620.

Find LCM of 174,681,780,399,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 29 x 227 x 65 x 19 x 11 = 7512124620

Therefore, the lowest common multiple of 174,681,780,399,924 is 7512124620.

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.

174 x 681 x 780 x 399 x 924 = 34074997276320

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

681 : 1, 3, 227, 681

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

399 : 1, 3, 7, 19, 21, 57, 133, 399

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,681,780,399,924, is 3.

Now, the common factors can be found like this.

174:2x 3x 29

681:3x 227

780:2x 2x 3x 5x 13

399:3x 7x 19

924:2x 2x 3x 7x 11

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 34074997276320/(3x1512)

LCM = 34074997276320/4536

LCM = 7512124620

Thus, we can understand that the LCM of 174,681,780,399,924 is 7512124620.

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

• LCM of 912, 877, 584, 151, 978
• LCM of 566, 944, 552, 436, 555
• LCM of 666, 596, 325, 555, 999
• LCM of 933, 100, 649, 343, 135
• LCM of 548, 504, 101, 584, 763

1. What is the LCM of 174, 681, 780, 399, 924?

Answer: LCM of 174, 681, 780, 399, 924 is 7512124620.

2. How to calculate the LCM of 174, 681, 780, 399, 924?

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 174, 681, 780, 399, 924.

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}.