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LCM of 980, 651, 396, 704

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 980, 651, 396, 704 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 980, 651, 396, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 980,651,396,704

Given numbers are 980,651,396,704

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

The LCM of 980,651,396,704 is 48121920.

Find LCM of 980,651,396,704 with Prime Factorization


2 980, 651, 396, 704
2 490, 651, 198, 352
3 245, 651, 99, 176
7 245, 217, 33, 176
11 35, 31, 33, 176
35, 31, 3, 16

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

2 x 2 x 3 x 7 x 11 x 35 x 31 x 3 x 16 = 48121920

Therefore, the lowest common multiple of 980,651,396,704 is 48121920.

LCM Formula to Find Lowest Common Multiple of 980,651,396,704

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 651 x 396 x 704 = 177858616320

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

651 : 1, 3, 7, 21, 31, 93, 217, 651

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,651,396,704, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

651:3x 7x 31

396:2x 2x 3x 3x 11

704:2x 2x 2x 2x 2x 2x 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 3x 7x 11 = 3696

Therefore, the value for common factors is 3696.

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 = 177858616320/(1x3696)

LCM = 177858616320/3696

LCM = 48121920

Thus, we can understand that the LCM of 980,651,396,704 is 48121920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 980, 651, 396, 704

1. What is the LCM of 980, 651, 396, 704?

Answer: LCM of 980, 651, 396, 704 is 48121920.

2. How to calculate the LCM of 980, 651, 396, 704?

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, 651, 396, 704.

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}.