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LCM of 863, 610, 902, 122, 567

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


Find the LCM of 863, 610, 902, 122, 567 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 863, 610, 902, 122, 567. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 863,610,902,122,567

Given numbers are 863,610,902,122,567

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

The LCM of 863,610,902,122,567 is 134617100310.

Find LCM of 863,610,902,122,567 with Prime Factorization


2 863, 610, 902, 122, 567
61 863, 305, 451, 61, 567
863, 5, 451, 1, 567

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

2 x 61 x 863 x 5 x 451 x 1 x 567 = 134617100310

Therefore, the lowest common multiple of 863,610,902,122,567 is 134617100310.

LCM Formula to Find Lowest Common Multiple of 863,610,902,122,567

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.

863 x 610 x 902 x 122 x 567 = 32846572475640

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.

863 : 1, 863

610 : 1, 2, 5, 10, 61, 122, 305, 610

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

122 : 1, 2, 61, 122

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,610,902,122,567, is 1.

Now, the common factors can be found like this.

863:863

610:2x 5x 61

902:2x 11x 41

122:2x 61

567:3x 3x 3x 3x 7

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 61 = 244

Therefore, the value for common factors is 244.

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 = 32846572475640/(1x244)

LCM = 32846572475640/244

LCM = 134617100310

Thus, we can understand that the LCM of 863,610,902,122,567 is 134617100310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 863, 610, 902, 122, 567

1. What is the LCM of 863, 610, 902, 122, 567?

Answer: LCM of 863, 610, 902, 122, 567 is 134617100310.

2. How to calculate the LCM of 863, 610, 902, 122, 567?

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 863, 610, 902, 122, 567.

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}.