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LCM of 343, 452, 121, 725, 584

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


Find the LCM of 343, 452, 121, 725, 584 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 343, 452, 121, 725, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,452,121,725,584

Given numbers are 343,452,121,725,584

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

The LCM of 343,452,121,725,584 is 1985677832600.

Find LCM of 343,452,121,725,584 with Prime Factorization


2 343, 452, 121, 725, 584
2 343, 226, 121, 725, 292
343, 113, 121, 725, 146

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

2 x 2 x 343 x 113 x 121 x 725 x 146 = 1985677832600

Therefore, the lowest common multiple of 343,452,121,725,584 is 1985677832600.

LCM Formula to Find Lowest Common Multiple of 343,452,121,725,584

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.

343 x 452 x 121 x 725 x 584 = 7942711330400

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.

343 : 1, 7, 49, 343

452 : 1, 2, 4, 113, 226, 452

121 : 1, 11, 121

725 : 1, 5, 25, 29, 145, 725

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,452,121,725,584, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

452:2x 2x 113

121:11x 11

725:5x 5x 29

584:2x 2x 2x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7942711330400/(1x4)

LCM = 7942711330400/4

LCM = 1985677832600

Thus, we can understand that the LCM of 343,452,121,725,584 is 1985677832600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 452, 121, 725, 584

1. What is the LCM of 343, 452, 121, 725, 584?

Answer: LCM of 343, 452, 121, 725, 584 is 1985677832600.

2. How to calculate the LCM of 343, 452, 121, 725, 584?

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 343, 452, 121, 725, 584.

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}.