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LCM of 988, 724, 169, 395, 553

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


Find the LCM of 988, 724, 169, 395, 553 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 988, 724, 169, 395, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,724,169,395,553

Given numbers are 988,724,169,395,553

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

The LCM of 988,724,169,395,553 is 6427972460.

Find LCM of 988,724,169,395,553 with Prime Factorization


2 988, 724, 169, 395, 553
2 494, 362, 169, 395, 553
13 247, 181, 169, 395, 553
79 19, 181, 13, 395, 553
19, 181, 13, 5, 7

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

2 x 2 x 13 x 79 x 19 x 181 x 13 x 5 x 7 = 6427972460

Therefore, the lowest common multiple of 988,724,169,395,553 is 6427972460.

LCM Formula to Find Lowest Common Multiple of 988,724,169,395,553

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.

988 x 724 x 169 x 395 x 553 = 26406110865680

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

724 : 1, 2, 4, 181, 362, 724

169 : 1, 13, 169

395 : 1, 5, 79, 395

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,724,169,395,553, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

724:2x 2x 181

169:13x 13

395:5x 79

553:7x 79

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 13x 79 = 4108

Therefore, the value for common factors is 4108.

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 = 26406110865680/(1x4108)

LCM = 26406110865680/4108

LCM = 6427972460

Thus, we can understand that the LCM of 988,724,169,395,553 is 6427972460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 724, 169, 395, 553

1. What is the LCM of 988, 724, 169, 395, 553?

Answer: LCM of 988, 724, 169, 395, 553 is 6427972460.

2. How to calculate the LCM of 988, 724, 169, 395, 553?

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 988, 724, 169, 395, 553.

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}.