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LCM of 431, 356, 979, 403

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


Find the LCM of 431, 356, 979, 403 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 431, 356, 979, 403. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,356,979,403

Given numbers are 431,356,979,403

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

The LCM of 431,356,979,403 is 680181788.

Find LCM of 431,356,979,403 with Prime Factorization


89 431, 356, 979, 403
431, 4, 11, 403

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

89 x 431 x 4 x 11 x 403 = 680181788

Therefore, the lowest common multiple of 431,356,979,403 is 680181788.

LCM Formula to Find Lowest Common Multiple of 431,356,979,403

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.

431 x 356 x 979 x 403 = 60536179132

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.

431 : 1, 431

356 : 1, 2, 4, 89, 178, 356

979 : 1, 11, 89, 979

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,356,979,403, is 1.

Now, the common factors can be found like this.

431:431

356:2x 2x 89

979:11x 89

403:13x 31

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

89 = 89

Therefore, the value for common factors is 89.

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 = 60536179132/(1x89)

LCM = 60536179132/89

LCM = 680181788

Thus, we can understand that the LCM of 431,356,979,403 is 680181788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 356, 979, 403

1. What is the LCM of 431, 356, 979, 403?

Answer: LCM of 431, 356, 979, 403 is 680181788.

2. How to calculate the LCM of 431, 356, 979, 403?

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 431, 356, 979, 403.

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}.