Given numbers are 700,492,748,408

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

The LCM of 700,492,748,408 is 32201400.

Find LCM of 700,492,748,408 with Prime Factorization

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

2 x 2 x 3 x 17 x 175 x 41 x 11 x 2 = 32201400

Therefore, the lowest common multiple of 700,492,748,408 is 32201400.

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.

700 x 492 x 748 x 408 = 105105369600

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.

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,492,748,408, is 4.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

492:2x 2x 3x 41

748:2x 2x 11x 17

408:2x 2x 2x 3x 17

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 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 105105369600/(4x816)

LCM = 105105369600/3264

LCM = 32201400

Thus, we can understand that the LCM of 700,492,748,408 is 32201400.

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

• LCM of 643, 860, 924, 883
• LCM of 214, 371, 377, 347
• LCM of 314, 246, 960, 162
• LCM of 322, 799, 809, 706
• LCM of 292, 801, 145, 743

1. What is the LCM of 700, 492, 748, 408?

Answer: LCM of 700, 492, 748, 408 is 32201400.

2. How to calculate the LCM of 700, 492, 748, 408?

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 700, 492, 748, 408.

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}.