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LCM of 377, 212, 949, 410

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


Find the LCM of 377, 212, 949, 410 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, 212, 949, 410. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,212,949,410

Given numbers are 377,212,949,410

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

The LCM of 377,212,949,410 is 1196062660.

Find LCM of 377,212,949,410 with Prime Factorization


2 377, 212, 949, 410
13 377, 106, 949, 205
29, 106, 73, 205

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

2 x 13 x 29 x 106 x 73 x 205 = 1196062660

Therefore, the lowest common multiple of 377,212,949,410 is 1196062660.

LCM Formula to Find Lowest Common Multiple of 377,212,949,410

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 212 x 949 x 410 = 31097629160

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

212 : 1, 2, 4, 53, 106, 212

949 : 1, 13, 73, 949

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,212,949,410, is 1.

Now, the common factors can be found like this.

377:13x 29

212:2x 2x 53

949:13x 73

410:2x 5x 41

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 31097629160/(1x26)

LCM = 31097629160/26

LCM = 1196062660

Thus, we can understand that the LCM of 377,212,949,410 is 1196062660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 212, 949, 410

1. What is the LCM of 377, 212, 949, 410?

Answer: LCM of 377, 212, 949, 410 is 1196062660.

2. How to calculate the LCM of 377, 212, 949, 410?

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, 212, 949, 410.

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}.