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LCM of 824, 975, 981, 892, 198

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


Find the LCM of 824, 975, 981, 892, 198 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 824, 975, 981, 892, 198. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 824,975,981,892,198

Given numbers are 824,975,981,892,198

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

The LCM of 824,975,981,892,198 is 644432045400.

Find LCM of 824,975,981,892,198 with Prime Factorization


2 824, 975, 981, 892, 198
2 412, 975, 981, 446, 99
3 206, 975, 981, 223, 99
3 206, 325, 327, 223, 33
206, 325, 109, 223, 11

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

2 x 2 x 3 x 3 x 206 x 325 x 109 x 223 x 11 = 644432045400

Therefore, the lowest common multiple of 824,975,981,892,198 is 644432045400.

LCM Formula to Find Lowest Common Multiple of 824,975,981,892,198

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.

824 x 975 x 981 x 892 x 198 = 139197321806400

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

981 : 1, 3, 9, 109, 327, 981

892 : 1, 2, 4, 223, 446, 892

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,975,981,892,198, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

975:3x 5x 5x 13

981:3x 3x 109

892:2x 2x 223

198:2x 3x 3x 11

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 139197321806400/(1x216)

LCM = 139197321806400/216

LCM = 644432045400

Thus, we can understand that the LCM of 824,975,981,892,198 is 644432045400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 824, 975, 981, 892, 198

1. What is the LCM of 824, 975, 981, 892, 198?

Answer: LCM of 824, 975, 981, 892, 198 is 644432045400.

2. How to calculate the LCM of 824, 975, 981, 892, 198?

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 824, 975, 981, 892, 198.

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}.