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LCM of 822, 767, 877, 472

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


Find the LCM of 822, 767, 877, 472 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 822, 767, 877, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,767,877,472

Given numbers are 822,767,877,472

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

The LCM of 822,767,877,472 is 2211702792.

Find LCM of 822,767,877,472 with Prime Factorization


2 822, 767, 877, 472
59 411, 767, 877, 236
411, 13, 877, 4

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

2 x 59 x 411 x 13 x 877 x 4 = 2211702792

Therefore, the lowest common multiple of 822,767,877,472 is 2211702792.

LCM Formula to Find Lowest Common Multiple of 822,767,877,472

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.

822 x 767 x 877 x 472 = 260980929456

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.

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

767 : 1, 13, 59, 767

877 : 1, 877

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,767,877,472, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

767:13x 59

877:877

472:2x 2x 2x 59

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 260980929456/(1x118)

LCM = 260980929456/118

LCM = 2211702792

Thus, we can understand that the LCM of 822,767,877,472 is 2211702792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 767, 877, 472

1. What is the LCM of 822, 767, 877, 472?

Answer: LCM of 822, 767, 877, 472 is 2211702792.

2. How to calculate the LCM of 822, 767, 877, 472?

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 822, 767, 877, 472.

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}.