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LCM of 399, 202, 203, 920

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


Find the LCM of 399, 202, 203, 920 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 399, 202, 203, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 399,202,203,920

Given numbers are 399,202,203,920

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

The LCM of 399,202,203,920 is 1075177320.

Find LCM of 399,202,203,920 with Prime Factorization


2 399, 202, 203, 920
7 399, 101, 203, 460
57, 101, 29, 460

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

2 x 7 x 57 x 101 x 29 x 460 = 1075177320

Therefore, the lowest common multiple of 399,202,203,920 is 1075177320.

LCM Formula to Find Lowest Common Multiple of 399,202,203,920

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.

399 x 202 x 203 x 920 = 15052482480

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.

399 : 1, 3, 7, 19, 21, 57, 133, 399

202 : 1, 2, 101, 202

203 : 1, 7, 29, 203

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,202,203,920, is 1.

Now, the common factors can be found like this.

399:3x 7x 19

202:2x 101

203:7x 29

920:2x 2x 2x 5x 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 7 = 14

Therefore, the value for common factors is 14.

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 = 15052482480/(1x14)

LCM = 15052482480/14

LCM = 1075177320

Thus, we can understand that the LCM of 399,202,203,920 is 1075177320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 399, 202, 203, 920

1. What is the LCM of 399, 202, 203, 920?

Answer: LCM of 399, 202, 203, 920 is 1075177320.

2. How to calculate the LCM of 399, 202, 203, 920?

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 399, 202, 203, 920.

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}.