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LCM of 821, 965, 226, 579

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


Find the LCM of 821, 965, 226, 579 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 821, 965, 226, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,965,226,579

Given numbers are 821,965,226,579

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

The LCM of 821,965,226,579 is 537155670.

Find LCM of 821,965,226,579 with Prime Factorization


193 821, 965, 226, 579
821, 5, 226, 3

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

193 x 821 x 5 x 226 x 3 = 537155670

Therefore, the lowest common multiple of 821,965,226,579 is 537155670.

LCM Formula to Find Lowest Common Multiple of 821,965,226,579

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.

821 x 965 x 226 x 579 = 103671044310

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.

821 : 1, 821

965 : 1, 5, 193, 965

226 : 1, 2, 113, 226

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,965,226,579, is 1.

Now, the common factors can be found like this.

821:821

965:5x 193

226:2x 113

579:3x 193

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

193 = 193

Therefore, the value for common factors is 193.

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 = 103671044310/(1x193)

LCM = 103671044310/193

LCM = 537155670

Thus, we can understand that the LCM of 821,965,226,579 is 537155670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 965, 226, 579

1. What is the LCM of 821, 965, 226, 579?

Answer: LCM of 821, 965, 226, 579 is 537155670.

2. How to calculate the LCM of 821, 965, 226, 579?

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 821, 965, 226, 579.

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}.