Given numbers are 742,924,179,903,475

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

The LCM of 742,924,179,903,475 is 179045304900.

Find LCM of 742,924,179,903,475 with Prime Factorization

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

2 x 3 x 7 x 53 x 22 x 179 x 43 x 475 = 179045304900

Therefore, the lowest common multiple of 742,924,179,903,475 is 179045304900.

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.

742 x 924 x 179 x 903 x 475 = 52639319640600

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

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

179 : 1, 179

903 : 1, 3, 7, 21, 43, 129, 301, 903

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,924,179,903,475, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

924:2x 2x 3x 7x 11

179:179

903:3x 7x 43

475:5x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 7x 7 = 294

Therefore, the value for common factors is 294.

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 = 52639319640600/(1x294)

LCM = 52639319640600/294

LCM = 179045304900

Thus, we can understand that the LCM of 742,924,179,903,475 is 179045304900.

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

• LCM of 607, 572, 899, 756, 436
• LCM of 515, 221, 356, 544, 987
• LCM of 260, 542, 834, 405, 509
• LCM of 637, 941, 779, 499, 190
• LCM of 576, 101, 518, 916, 913

1. What is the LCM of 742, 924, 179, 903, 475?

Answer: LCM of 742, 924, 179, 903, 475 is 179045304900.

2. How to calculate the LCM of 742, 924, 179, 903, 475?

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 742, 924, 179, 903, 475.

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}.