Given numbers are 980,748,450,113,608

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

The LCM of 980,748,450,113,608 is 141645319200.

Find LCM of 980,748,450,113,608 with Prime Factorization

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

2 x 2 x 5 x 49 x 187 x 45 x 113 x 152 = 141645319200

Therefore, the lowest common multiple of 980,748,450,113,608 is 141645319200.

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.

980 x 748 x 450 x 113 x 608 = 22663251072000

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

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

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

113 : 1, 113

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,748,450,113,608, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

748:2x 2x 11x 17

450:2x 3x 3x 5x 5

113:113

608:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 22663251072000/(1x160)

LCM = 22663251072000/160

LCM = 141645319200

Thus, we can understand that the LCM of 980,748,450,113,608 is 141645319200.

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

• LCM of 904, 182, 464, 745, 985
• LCM of 838, 370, 722, 222, 927
• LCM of 861, 380, 992, 280, 821
• LCM of 180, 602, 436, 247, 389
• LCM of 381, 158, 828, 728, 360

1. What is the LCM of 980, 748, 450, 113, 608?

Answer: LCM of 980, 748, 450, 113, 608 is 141645319200.

2. How to calculate the LCM of 980, 748, 450, 113, 608?

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 980, 748, 450, 113, 608.

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}.