Given numbers are 358,490,648,974

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

The LCM of 358,490,648,974 is 13839585480.

Find LCM of 358,490,648,974 with Prime Factorization

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

2 x 179 x 245 x 324 x 487 = 13839585480

Therefore, the lowest common multiple of 358,490,648,974 is 13839585480.

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.

358 x 490 x 648 x 974 = 110716683840

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.

358 : 1, 2, 179, 358

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,490,648,974, is 2.

Now, the common factors can be found like this.

358:2x 179

490:2x 5x 7x 7

648:2x 2x 2x 3x 3x 3x 3

974:2x 487

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 110716683840/(2x4)

LCM = 110716683840/8

LCM = 13839585480

Thus, we can understand that the LCM of 358,490,648,974 is 13839585480.

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

• LCM of 302, 368, 559, 945
• LCM of 424, 834, 994, 729
• LCM of 548, 814, 892, 617
• LCM of 712, 221, 905, 634
• LCM of 714, 781, 887, 156

1. What is the LCM of 358, 490, 648, 974?

Answer: LCM of 358, 490, 648, 974 is 13839585480.

2. How to calculate the LCM of 358, 490, 648, 974?

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 358, 490, 648, 974.

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}.