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LCM of 961, 404, 551, 834, 917

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


Find the LCM of 961, 404, 551, 834, 917 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 961, 404, 551, 834, 917. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,404,551,834,917

Given numbers are 961,404,551,834,917

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

The LCM of 961,404,551,834,917 is 81801589438716.

Find LCM of 961,404,551,834,917 with Prime Factorization


2 961, 404, 551, 834, 917
961, 202, 551, 417, 917

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

2 x 961 x 202 x 551 x 417 x 917 = 81801589438716

Therefore, the lowest common multiple of 961,404,551,834,917 is 81801589438716.

LCM Formula to Find Lowest Common Multiple of 961,404,551,834,917

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.

961 x 404 x 551 x 834 x 917 = 163603178877432

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.

961 : 1, 31, 961

404 : 1, 2, 4, 101, 202, 404

551 : 1, 19, 29, 551

834 : 1, 2, 3, 6, 139, 278, 417, 834

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,404,551,834,917, is 1.

Now, the common factors can be found like this.

961:31x 31

404:2x 2x 101

551:19x 29

834:2x 3x 139

917:7x 131

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

2 = 2

Therefore, the value for common factors is 2.

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 = 163603178877432/(1x2)

LCM = 163603178877432/2

LCM = 81801589438716

Thus, we can understand that the LCM of 961,404,551,834,917 is 81801589438716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 404, 551, 834, 917

1. What is the LCM of 961, 404, 551, 834, 917?

Answer: LCM of 961, 404, 551, 834, 917 is 81801589438716.

2. How to calculate the LCM of 961, 404, 551, 834, 917?

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 961, 404, 551, 834, 917.

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}.