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LCM of 971, 579, 221, 194, 795

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


Find the LCM of 971, 579, 221, 194, 795 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 971, 579, 221, 194, 795. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 971,579,221,194,795

Given numbers are 971,579,221,194,795

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

The LCM of 971,579,221,194,795 is 6387599396490.

Find LCM of 971,579,221,194,795 with Prime Factorization


3 971, 579, 221, 194, 795
971, 193, 221, 194, 265

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

3 x 971 x 193 x 221 x 194 x 265 = 6387599396490

Therefore, the lowest common multiple of 971,579,221,194,795 is 6387599396490.

LCM Formula to Find Lowest Common Multiple of 971,579,221,194,795

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.

971 x 579 x 221 x 194 x 795 = 19162798189470

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.

971 : 1, 971

579 : 1, 3, 193, 579

221 : 1, 13, 17, 221

194 : 1, 2, 97, 194

795 : 1, 3, 5, 15, 53, 159, 265, 795

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,579,221,194,795, is 1.

Now, the common factors can be found like this.

971:971

579:3x 193

221:13x 17

194:2x 97

795:3x 5x 53

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

3 = 3

Therefore, the value for common factors is 3.

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 = 19162798189470/(1x3)

LCM = 19162798189470/3

LCM = 6387599396490

Thus, we can understand that the LCM of 971,579,221,194,795 is 6387599396490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 971, 579, 221, 194, 795

1. What is the LCM of 971, 579, 221, 194, 795?

Answer: LCM of 971, 579, 221, 194, 795 is 6387599396490.

2. How to calculate the LCM of 971, 579, 221, 194, 795?

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 971, 579, 221, 194, 795.

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}.