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LCM of 359, 579, 679, 409, 696

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


Find the LCM of 359, 579, 679, 409, 696 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 359, 579, 679, 409, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 359,579,679,409,696

Given numbers are 359,579,679,409,696

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

The LCM of 359,579,679,409,696 is 13392266391672.

Find LCM of 359,579,679,409,696 with Prime Factorization


3 359, 579, 679, 409, 696
359, 193, 679, 409, 232

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

3 x 359 x 193 x 679 x 409 x 232 = 13392266391672

Therefore, the lowest common multiple of 359,579,679,409,696 is 13392266391672.

LCM Formula to Find Lowest Common Multiple of 359,579,679,409,696

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.

359 x 579 x 679 x 409 x 696 = 40176799175016

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.

359 : 1, 359

579 : 1, 3, 193, 579

679 : 1, 7, 97, 679

409 : 1, 409

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,579,679,409,696, is 1.

Now, the common factors can be found like this.

359:359

579:3x 193

679:7x 97

409:409

696:2x 2x 2x 3x 29

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 = 40176799175016/(1x3)

LCM = 40176799175016/3

LCM = 13392266391672

Thus, we can understand that the LCM of 359,579,679,409,696 is 13392266391672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 359, 579, 679, 409, 696

1. What is the LCM of 359, 579, 679, 409, 696?

Answer: LCM of 359, 579, 679, 409, 696 is 13392266391672.

2. How to calculate the LCM of 359, 579, 679, 409, 696?

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 359, 579, 679, 409, 696.

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}.