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LCM of 854, 127, 972, 910, 889

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


Find the LCM of 854, 127, 972, 910, 889 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, 127, 972, 910, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,127,972,910,889

Given numbers are 854,127,972,910,889

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

The LCM of 854,127,972,910,889 is 3426188220.

Find LCM of 854,127,972,910,889 with Prime Factorization


2 854, 127, 972, 910, 889
7 427, 127, 486, 455, 889
127 61, 127, 486, 65, 127
61, 1, 486, 65, 1

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

2 x 7 x 127 x 61 x 1 x 486 x 65 x 1 = 3426188220

Therefore, the lowest common multiple of 854,127,972,910,889 is 3426188220.

LCM Formula to Find Lowest Common Multiple of 854,127,972,910,889

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 127 x 972 x 910 x 889 = 85284677172240

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

127 : 1, 127

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,127,972,910,889, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

127:127

972:2x 2x 3x 3x 3x 3x 3

910:2x 5x 7x 13

889:7x 127

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 7x 7x 127 = 24892

Therefore, the value for common factors is 24892.

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 = 85284677172240/(1x24892)

LCM = 85284677172240/24892

LCM = 3426188220

Thus, we can understand that the LCM of 854,127,972,910,889 is 3426188220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 127, 972, 910, 889

1. What is the LCM of 854, 127, 972, 910, 889?

Answer: LCM of 854, 127, 972, 910, 889 is 3426188220.

2. How to calculate the LCM of 854, 127, 972, 910, 889?

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, 127, 972, 910, 889.

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}.