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LCM of 892, 861, 944, 400, 117

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


Find the LCM of 892, 861, 944, 400, 117 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 892, 861, 944, 400, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,861,944,400,117

Given numbers are 892,861,944,400,117

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

The LCM of 892,861,944,400,117 is 176719561200.

Find LCM of 892,861,944,400,117 with Prime Factorization


2 892, 861, 944, 400, 117
2 446, 861, 472, 200, 117
2 223, 861, 236, 100, 117
2 223, 861, 118, 50, 117
3 223, 861, 59, 25, 117
223, 287, 59, 25, 39

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

2 x 2 x 2 x 2 x 3 x 223 x 287 x 59 x 25 x 39 = 176719561200

Therefore, the lowest common multiple of 892,861,944,400,117 is 176719561200.

LCM Formula to Find Lowest Common Multiple of 892,861,944,400,117

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.

892 x 861 x 944 x 400 x 117 = 33930155750400

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.

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

861 : 1, 3, 7, 21, 41, 123, 287, 861

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,861,944,400,117, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

861:3x 7x 41

944:2x 2x 2x 2x 59

400:2x 2x 2x 2x 5x 5

117:3x 3x 13

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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 33930155750400/(1x192)

LCM = 33930155750400/192

LCM = 176719561200

Thus, we can understand that the LCM of 892,861,944,400,117 is 176719561200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 861, 944, 400, 117

1. What is the LCM of 892, 861, 944, 400, 117?

Answer: LCM of 892, 861, 944, 400, 117 is 176719561200.

2. How to calculate the LCM of 892, 861, 944, 400, 117?

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 892, 861, 944, 400, 117.

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}.