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LCM of 657, 936, 494, 897, 175

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


Find the LCM of 657, 936, 494, 897, 175 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 657, 936, 494, 897, 175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 657,936,494,897,175

Given numbers are 657,936,494,897,175

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

The LCM of 657,936,494,897,175 is 5225383800.

Find LCM of 657,936,494,897,175 with Prime Factorization


2 657, 936, 494, 897, 175
3 657, 468, 247, 897, 175
3 219, 156, 247, 299, 175
13 73, 52, 247, 299, 175
73, 4, 19, 23, 175

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

2 x 3 x 3 x 13 x 73 x 4 x 19 x 23 x 175 = 5225383800

Therefore, the lowest common multiple of 657,936,494,897,175 is 5225383800.

LCM Formula to Find Lowest Common Multiple of 657,936,494,897,175

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.

657 x 936 x 494 x 897 x 175 = 47686852558800

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.

657 : 1, 3, 9, 73, 219, 657

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

494 : 1, 2, 13, 19, 26, 38, 247, 494

897 : 1, 3, 13, 23, 39, 69, 299, 897

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,936,494,897,175, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

936:2x 2x 2x 3x 3x 13

494:2x 13x 19

897:3x 13x 23

175:5x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 13x 13 = 9126

Therefore, the value for common factors is 9126.

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 = 47686852558800/(1x9126)

LCM = 47686852558800/9126

LCM = 5225383800

Thus, we can understand that the LCM of 657,936,494,897,175 is 5225383800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 657, 936, 494, 897, 175

1. What is the LCM of 657, 936, 494, 897, 175?

Answer: LCM of 657, 936, 494, 897, 175 is 5225383800.

2. How to calculate the LCM of 657, 936, 494, 897, 175?

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 657, 936, 494, 897, 175.

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}.