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LCM of 563, 203, 902, 791, 852

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


Find the LCM of 563, 203, 902, 791, 852 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 563, 203, 902, 791, 852. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 563,203,902,791,852

Given numbers are 563,203,902,791,852

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

The LCM of 563,203,902,791,852 is 4962482781564.

Find LCM of 563,203,902,791,852 with Prime Factorization


2 563, 203, 902, 791, 852
7 563, 203, 451, 791, 426
563, 29, 451, 113, 426

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

2 x 7 x 563 x 29 x 451 x 113 x 426 = 4962482781564

Therefore, the lowest common multiple of 563,203,902,791,852 is 4962482781564.

LCM Formula to Find Lowest Common Multiple of 563,203,902,791,852

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.

563 x 203 x 902 x 791 x 852 = 69474758941896

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.

563 : 1, 563

203 : 1, 7, 29, 203

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

791 : 1, 7, 113, 791

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,203,902,791,852, is 1.

Now, the common factors can be found like this.

563:563

203:7x 29

902:2x 11x 41

791:7x 113

852:2x 2x 3x 71

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 69474758941896/(1x14)

LCM = 69474758941896/14

LCM = 4962482781564

Thus, we can understand that the LCM of 563,203,902,791,852 is 4962482781564.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 563, 203, 902, 791, 852

1. What is the LCM of 563, 203, 902, 791, 852?

Answer: LCM of 563, 203, 902, 791, 852 is 4962482781564.

2. How to calculate the LCM of 563, 203, 902, 791, 852?

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 563, 203, 902, 791, 852.

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}.