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LCM of 362, 926, 724, 822, 771

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


Find the LCM of 362, 926, 724, 822, 771 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 362, 926, 724, 822, 771. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 362,926,724,822,771

Given numbers are 362,926,724,822,771

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

The LCM of 362,926,724,822,771 is 35407437924.

Find LCM of 362,926,724,822,771 with Prime Factorization


2 362, 926, 724, 822, 771
3 181, 463, 362, 411, 771
181 181, 463, 362, 137, 257
1, 463, 2, 137, 257

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

2 x 3 x 181 x 1 x 463 x 2 x 137 x 257 = 35407437924

Therefore, the lowest common multiple of 362,926,724,822,771 is 35407437924.

LCM Formula to Find Lowest Common Multiple of 362,926,724,822,771

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.

362 x 926 x 724 x 822 x 771 = 153809910341856

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.

362 : 1, 2, 181, 362

926 : 1, 2, 463, 926

724 : 1, 2, 4, 181, 362, 724

822 : 1, 2, 3, 6, 137, 274, 411, 822

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,926,724,822,771, is 1.

Now, the common factors can be found like this.

362:2x 181

926:2x 463

724:2x 2x 181

822:2x 3x 137

771:3x 257

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 3x 181 = 4344

Therefore, the value for common factors is 4344.

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 = 153809910341856/(1x4344)

LCM = 153809910341856/4344

LCM = 35407437924

Thus, we can understand that the LCM of 362,926,724,822,771 is 35407437924.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 362, 926, 724, 822, 771

1. What is the LCM of 362, 926, 724, 822, 771?

Answer: LCM of 362, 926, 724, 822, 771 is 35407437924.

2. How to calculate the LCM of 362, 926, 724, 822, 771?

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 362, 926, 724, 822, 771.

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}.