Given numbers are 490,631,316,888,924

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

The LCM of 490,631,316,888,924 is 119296632840.

Find LCM of 490,631,316,888,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 35 x 631 x 79 x 74 x 11 = 119296632840

Therefore, the lowest common multiple of 490,631,316,888,924 is 119296632840.

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.

490 x 631 x 316 x 888 x 924 = 80167337268480

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

631 : 1, 631

316 : 1, 2, 4, 79, 158, 316

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,631,316,888,924, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

631:631

316:2x 2x 79

888:2x 2x 2x 3x 37

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 2x 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 80167337268480/(1x672)

LCM = 80167337268480/672

LCM = 119296632840

Thus, we can understand that the LCM of 490,631,316,888,924 is 119296632840.

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

• LCM of 706, 690, 260, 960, 144
• LCM of 834, 573, 906, 450, 864
• LCM of 179, 212, 968, 551, 226
• LCM of 269, 708, 823, 787, 134
• LCM of 579, 326, 367, 607, 152

1. What is the LCM of 490, 631, 316, 888, 924?

Answer: LCM of 490, 631, 316, 888, 924 is 119296632840.

2. How to calculate the LCM of 490, 631, 316, 888, 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 490, 631, 316, 888, 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}.