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LCM of 371, 195, 390, 884

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


Find the LCM of 371, 195, 390, 884 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 371, 195, 390, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 371,195,390,884

Given numbers are 371,195,390,884

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

The LCM of 371,195,390,884 is 4919460.

Find LCM of 371,195,390,884 with Prime Factorization


2 371, 195, 390, 884
3 371, 195, 195, 442
5 371, 65, 65, 442
13 371, 13, 13, 442
371, 1, 1, 34

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

2 x 3 x 5 x 13 x 371 x 1 x 1 x 34 = 4919460

Therefore, the lowest common multiple of 371,195,390,884 is 4919460.

LCM Formula to Find Lowest Common Multiple of 371,195,390,884

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.

371 x 195 x 390 x 884 = 24941662200

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.

371 : 1, 7, 53, 371

195 : 1, 3, 5, 13, 15, 39, 65, 195

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,195,390,884, is 1.

Now, the common factors can be found like this.

371:7x 53

195:3x 5x 13

390:2x 3x 5x 13

884:2x 2x 13x 17

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 5x 13x 13 = 5070

Therefore, the value for common factors is 5070.

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 = 24941662200/(1x5070)

LCM = 24941662200/5070

LCM = 4919460

Thus, we can understand that the LCM of 371,195,390,884 is 4919460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 371, 195, 390, 884

1. What is the LCM of 371, 195, 390, 884?

Answer: LCM of 371, 195, 390, 884 is 4919460.

2. How to calculate the LCM of 371, 195, 390, 884?

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 371, 195, 390, 884.

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}.