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LCM of 401, 377, 974, 897, 137

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


Find the LCM of 401, 377, 974, 897, 137 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 401, 377, 974, 897, 137. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 401,377,974,897,137

Given numbers are 401,377,974,897,137

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

The LCM of 401,377,974,897,137 is 1391920200294.

Find LCM of 401,377,974,897,137 with Prime Factorization


13 401, 377, 974, 897, 137
401, 29, 974, 69, 137

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

13 x 401 x 29 x 974 x 69 x 137 = 1391920200294

Therefore, the lowest common multiple of 401,377,974,897,137 is 1391920200294.

LCM Formula to Find Lowest Common Multiple of 401,377,974,897,137

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.

401 x 377 x 974 x 897 x 137 = 18094962603822

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.

401 : 1, 401

377 : 1, 13, 29, 377

974 : 1, 2, 487, 974

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

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,377,974,897,137, is 1.

Now, the common factors can be found like this.

401:401

377:13x 29

974:2x 487

897:3x 13x 23

137:137

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

13 = 13

Therefore, the value for common factors is 13.

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 = 18094962603822/(1x13)

LCM = 18094962603822/13

LCM = 1391920200294

Thus, we can understand that the LCM of 401,377,974,897,137 is 1391920200294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 401, 377, 974, 897, 137

1. What is the LCM of 401, 377, 974, 897, 137?

Answer: LCM of 401, 377, 974, 897, 137 is 1391920200294.

2. How to calculate the LCM of 401, 377, 974, 897, 137?

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 401, 377, 974, 897, 137.

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}.