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LCM of 822, 825, 451, 975

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


Find the LCM of 822, 825, 451, 975 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, 825, 451, 975. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,825,451,975

Given numbers are 822,825,451,975

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

The LCM of 822,825,451,975 is 120484650.

Find LCM of 822,825,451,975 with Prime Factorization


3 822, 825, 451, 975
5 274, 275, 451, 325
5 274, 55, 451, 65
11 274, 11, 451, 13
274, 1, 41, 13

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

3 x 5 x 5 x 11 x 274 x 1 x 41 x 13 = 120484650

Therefore, the lowest common multiple of 822,825,451,975 is 120484650.

LCM Formula to Find Lowest Common Multiple of 822,825,451,975

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 825 x 451 x 975 = 298199508750

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

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

451 : 1, 11, 41, 451

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,825,451,975, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

825:3x 5x 5x 11

451:11x 41

975:3x 5x 5x 13

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

3x 3x 5x 5x 11 = 2475

Therefore, the value for common factors is 2475.

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 = 298199508750/(1x2475)

LCM = 298199508750/2475

LCM = 120484650

Thus, we can understand that the LCM of 822,825,451,975 is 120484650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 825, 451, 975

1. What is the LCM of 822, 825, 451, 975?

Answer: LCM of 822, 825, 451, 975 is 120484650.

2. How to calculate the LCM of 822, 825, 451, 975?

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, 825, 451, 975.

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}.