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LCM of 980, 108, 693, 552

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


Find the LCM of 980, 108, 693, 552 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, 108, 693, 552. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 980,108,693,552

Given numbers are 980,108,693,552

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

The LCM of 980,108,693,552 is 13388760.

Find LCM of 980,108,693,552 with Prime Factorization


2 980, 108, 693, 552
2 490, 54, 693, 276
3 245, 27, 693, 138
3 245, 9, 231, 46
7 245, 3, 77, 46
35, 3, 11, 46

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

2 x 2 x 3 x 3 x 7 x 35 x 3 x 11 x 46 = 13388760

Therefore, the lowest common multiple of 980,108,693,552 is 13388760.

LCM Formula to Find Lowest Common Multiple of 980,108,693,552

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 108 x 693 x 552 = 40487610240

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

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,108,693,552, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

108:2x 2x 3x 3x 3

693:3x 3x 7x 11

552:2x 2x 2x 3x 23

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 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 40487610240/(1x3024)

LCM = 40487610240/3024

LCM = 13388760

Thus, we can understand that the LCM of 980,108,693,552 is 13388760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 980, 108, 693, 552

1. What is the LCM of 980, 108, 693, 552?

Answer: LCM of 980, 108, 693, 552 is 13388760.

2. How to calculate the LCM of 980, 108, 693, 552?

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, 108, 693, 552.

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}.