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LCM of 988, 893, 532

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


Find the LCM of 988, 893, 532 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, 893, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,893,532

Given numbers are 988,893,532

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

The LCM of 988,893,532 is 325052.

Find LCM of 988,893,532 with Prime Factorization


2 988, 893, 532
2 494, 893, 266
19 247, 893, 133
13, 47, 7

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

2 x 2 x 19 x 13 x 47 x 7 = 325052

Therefore, the lowest common multiple of 988,893,532 is 325052.

LCM Formula to Find Lowest Common Multiple of 988,893,532

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 893 x 532 = 469375088

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

893 : 1, 19, 47, 893

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

19 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,893,532, is 19.

Now, the common factors can be found like this.

988:2x 2x 13x 19

893:19x 47

532:2x 2x 7x 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 19 = 76

Therefore, the value for common factors is 76.

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 = 469375088/(19x76)

LCM = 469375088/1444

LCM = 325052

Thus, we can understand that the LCM of 988,893,532 is 325052.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 988, 893, 532

1. What is the LCM of 988, 893, 532?

Answer: LCM of 988, 893, 532 is 325052.

2. How to calculate the LCM of 988, 893, 532?

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, 893, 532.

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}.