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LCM of 988, 658, 518, 338

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


Find the LCM of 988, 658, 518, 338 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, 658, 518, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,658,518,338

Given numbers are 988,658,518,338

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

The LCM of 988,658,518,338 is 156350012.

Find LCM of 988,658,518,338 with Prime Factorization


2 988, 658, 518, 338
7 494, 329, 259, 169
13 494, 47, 37, 169
38, 47, 37, 13

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

2 x 7 x 13 x 38 x 47 x 37 x 13 = 156350012

Therefore, the lowest common multiple of 988,658,518,338 is 156350012.

LCM Formula to Find Lowest Common Multiple of 988,658,518,338

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 658 x 518 x 338 = 113822808736

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

658 : 1, 2, 7, 14, 47, 94, 329, 658

518 : 1, 2, 7, 14, 37, 74, 259, 518

338 : 1, 2, 13, 26, 169, 338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,658,518,338, is 2.

Now, the common factors can be found like this.

988:2x 2x 13x 19

658:2x 7x 47

518:2x 7x 37

338:2x 13x 13

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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 113822808736/(2x364)

LCM = 113822808736/728

LCM = 156350012

Thus, we can understand that the LCM of 988,658,518,338 is 156350012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 658, 518, 338

1. What is the LCM of 988, 658, 518, 338?

Answer: LCM of 988, 658, 518, 338 is 156350012.

2. How to calculate the LCM of 988, 658, 518, 338?

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, 658, 518, 338.

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}.