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LCM of 854, 317, 661, 981, 954

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


Find the LCM of 854, 317, 661, 981, 954 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 854, 317, 661, 981, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,317,661,981,954

Given numbers are 854,317,661,981,954

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

The LCM of 854,317,661,981,954 is 9303866483814.

Find LCM of 854,317,661,981,954 with Prime Factorization


2 854, 317, 661, 981, 954
3 427, 317, 661, 981, 477
3 427, 317, 661, 327, 159
427, 317, 661, 109, 53

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

2 x 3 x 3 x 427 x 317 x 661 x 109 x 53 = 9303866483814

Therefore, the lowest common multiple of 854,317,661,981,954 is 9303866483814.

LCM Formula to Find Lowest Common Multiple of 854,317,661,981,954

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.

854 x 317 x 661 x 981 x 954 = 167469596708652

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

317 : 1, 317

661 : 1, 661

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

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,317,661,981,954, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

317:317

661:661

981:3x 3x 109

954:2x 3x 3x 53

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 167469596708652/(1x18)

LCM = 167469596708652/18

LCM = 9303866483814

Thus, we can understand that the LCM of 854,317,661,981,954 is 9303866483814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 317, 661, 981, 954

1. What is the LCM of 854, 317, 661, 981, 954?

Answer: LCM of 854, 317, 661, 981, 954 is 9303866483814.

2. How to calculate the LCM of 854, 317, 661, 981, 954?

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 854, 317, 661, 981, 954.

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}.