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LCM of 377, 514, 897, 856, 644

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


Find the LCM of 377, 514, 897, 856, 644 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 377, 514, 897, 856, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,514,897,856,644

Given numbers are 377,514,897,856,644

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

The LCM of 377,514,897,856,644 is 40058563272.

Find LCM of 377,514,897,856,644 with Prime Factorization


2 377, 514, 897, 856, 644
2 377, 257, 897, 428, 322
13 377, 257, 897, 214, 161
23 29, 257, 69, 214, 161
29, 257, 3, 214, 7

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

2 x 2 x 13 x 23 x 29 x 257 x 3 x 214 x 7 = 40058563272

Therefore, the lowest common multiple of 377,514,897,856,644 is 40058563272.

LCM Formula to Find Lowest Common Multiple of 377,514,897,856,644

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.

377 x 514 x 897 x 856 x 644 = 95820083346624

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.

377 : 1, 13, 29, 377

514 : 1, 2, 257, 514

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,514,897,856,644, is 1.

Now, the common factors can be found like this.

377:13x 29

514:2x 257

897:3x 13x 23

856:2x 2x 2x 107

644:2x 2x 7x 23

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 2x 13x 23 = 2392

Therefore, the value for common factors is 2392.

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 = 95820083346624/(1x2392)

LCM = 95820083346624/2392

LCM = 40058563272

Thus, we can understand that the LCM of 377,514,897,856,644 is 40058563272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 514, 897, 856, 644

1. What is the LCM of 377, 514, 897, 856, 644?

Answer: LCM of 377, 514, 897, 856, 644 is 40058563272.

2. How to calculate the LCM of 377, 514, 897, 856, 644?

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 377, 514, 897, 856, 644.

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}.