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LCM of 403, 715, 953, 198

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


Find the LCM of 403, 715, 953, 198 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 403, 715, 953, 198. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,715,953,198

Given numbers are 403,715,953,198

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

The LCM of 403,715,953,198 is 380218410.

Find LCM of 403,715,953,198 with Prime Factorization


11 403, 715, 953, 198
13 403, 65, 953, 18
31, 5, 953, 18

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

11 x 13 x 31 x 5 x 953 x 18 = 380218410

Therefore, the lowest common multiple of 403,715,953,198 is 380218410.

LCM Formula to Find Lowest Common Multiple of 403,715,953,198

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.

403 x 715 x 953 x 198 = 54371232630

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.

403 : 1, 13, 31, 403

715 : 1, 5, 11, 13, 55, 65, 143, 715

953 : 1, 953

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,715,953,198, is 1.

Now, the common factors can be found like this.

403:13x 31

715:5x 11x 13

953:953

198:2x 3x 3x 11

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 54371232630/(1x143)

LCM = 54371232630/143

LCM = 380218410

Thus, we can understand that the LCM of 403,715,953,198 is 380218410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 715, 953, 198

1. What is the LCM of 403, 715, 953, 198?

Answer: LCM of 403, 715, 953, 198 is 380218410.

2. How to calculate the LCM of 403, 715, 953, 198?

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 403, 715, 953, 198.

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}.