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LCM of 604, 725, 593, 902, 151

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


Find the LCM of 604, 725, 593, 902, 151 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 604, 725, 593, 902, 151. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,725,593,902,151

Given numbers are 604,725,593,902,151

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

The LCM of 604,725,593,902,151 is 117113289700.

Find LCM of 604,725,593,902,151 with Prime Factorization


2 604, 725, 593, 902, 151
151 302, 725, 593, 451, 151
2, 725, 593, 451, 1

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

2 x 151 x 2 x 725 x 593 x 451 x 1 = 117113289700

Therefore, the lowest common multiple of 604,725,593,902,151 is 117113289700.

LCM Formula to Find Lowest Common Multiple of 604,725,593,902,151

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.

604 x 725 x 593 x 902 x 151 = 35368213489400

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.

604 : 1, 2, 4, 151, 302, 604

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

593 : 1, 593

902 : 1, 2, 11, 22, 41, 82, 451, 902

151 : 1, 151

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,725,593,902,151, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

725:5x 5x 29

593:593

902:2x 11x 41

151:151

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

2x 151 = 302

Therefore, the value for common factors is 302.

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 = 35368213489400/(1x302)

LCM = 35368213489400/302

LCM = 117113289700

Thus, we can understand that the LCM of 604,725,593,902,151 is 117113289700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 725, 593, 902, 151

1. What is the LCM of 604, 725, 593, 902, 151?

Answer: LCM of 604, 725, 593, 902, 151 is 117113289700.

2. How to calculate the LCM of 604, 725, 593, 902, 151?

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 604, 725, 593, 902, 151.

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}.