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LCM of 854, 737, 504, 979

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


Find the LCM of 854, 737, 504, 979 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, 737, 504, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,737,504,979

Given numbers are 854,737,504,979

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

The LCM of 854,737,504,979 is 2016591192.

Find LCM of 854,737,504,979 with Prime Factorization


2 854, 737, 504, 979
7 427, 737, 252, 979
11 61, 737, 36, 979
61, 67, 36, 89

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

2 x 7 x 11 x 61 x 67 x 36 x 89 = 2016591192

Therefore, the lowest common multiple of 854,737,504,979 is 2016591192.

LCM Formula to Find Lowest Common Multiple of 854,737,504,979

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 737 x 504 x 979 = 310555043568

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

737 : 1, 11, 67, 737

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,737,504,979, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

737:11x 67

504:2x 2x 2x 3x 3x 7

979:11x 89

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

2x 7x 11 = 154

Therefore, the value for common factors is 154.

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 = 310555043568/(1x154)

LCM = 310555043568/154

LCM = 2016591192

Thus, we can understand that the LCM of 854,737,504,979 is 2016591192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 737, 504, 979

1. What is the LCM of 854, 737, 504, 979?

Answer: LCM of 854, 737, 504, 979 is 2016591192.

2. How to calculate the LCM of 854, 737, 504, 979?

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, 737, 504, 979.

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}.