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LCM of 476, 791, 901, 839

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


Find the LCM of 476, 791, 901, 839 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 476, 791, 901, 839. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,791,901,839

Given numbers are 476,791,901,839

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

The LCM of 476,791,901,839 is 2391790996.

Find LCM of 476,791,901,839 with Prime Factorization


7 476, 791, 901, 839
17 68, 113, 901, 839
4, 113, 53, 839

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

7 x 17 x 4 x 113 x 53 x 839 = 2391790996

Therefore, the lowest common multiple of 476,791,901,839 is 2391790996.

LCM Formula to Find Lowest Common Multiple of 476,791,901,839

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.

476 x 791 x 901 x 839 = 284623128524

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

791 : 1, 7, 113, 791

901 : 1, 17, 53, 901

839 : 1, 839

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,791,901,839, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

791:7x 113

901:17x 53

839:839

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

7x 17 = 119

Therefore, the value for common factors is 119.

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 = 284623128524/(1x119)

LCM = 284623128524/119

LCM = 2391790996

Thus, we can understand that the LCM of 476,791,901,839 is 2391790996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 791, 901, 839

1. What is the LCM of 476, 791, 901, 839?

Answer: LCM of 476, 791, 901, 839 is 2391790996.

2. How to calculate the LCM of 476, 791, 901, 839?

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 476, 791, 901, 839.

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}.