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LCM of 596, 404, 541, 334, 668

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


Find the LCM of 596, 404, 541, 334, 668 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 596, 404, 541, 334, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 596,404,541,334,668

Given numbers are 596,404,541,334,668

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

The LCM of 596,404,541,334,668 is 5438528012.

Find LCM of 596,404,541,334,668 with Prime Factorization


2 596, 404, 541, 334, 668
2 298, 202, 541, 167, 334
167 149, 101, 541, 167, 167
149, 101, 541, 1, 1

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

2 x 2 x 167 x 149 x 101 x 541 x 1 x 1 = 5438528012

Therefore, the lowest common multiple of 596,404,541,334,668 is 5438528012.

LCM Formula to Find Lowest Common Multiple of 596,404,541,334,668

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.

596 x 404 x 541 x 334 x 668 = 29063493696128

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.

596 : 1, 2, 4, 149, 298, 596

404 : 1, 2, 4, 101, 202, 404

541 : 1, 541

334 : 1, 2, 167, 334

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,404,541,334,668, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

404:2x 2x 101

541:541

334:2x 167

668:2x 2x 167

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

2x 2x 2x 2x 2x 167 = 5344

Therefore, the value for common factors is 5344.

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 = 29063493696128/(1x5344)

LCM = 29063493696128/5344

LCM = 5438528012

Thus, we can understand that the LCM of 596,404,541,334,668 is 5438528012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 596, 404, 541, 334, 668

1. What is the LCM of 596, 404, 541, 334, 668?

Answer: LCM of 596, 404, 541, 334, 668 is 5438528012.

2. How to calculate the LCM of 596, 404, 541, 334, 668?

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 596, 404, 541, 334, 668.

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}.