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LCM of 986, 904, 765, 767, 372

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


Find the LCM of 986, 904, 765, 767, 372 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 986, 904, 765, 767, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,904,765,767,372

Given numbers are 986,904,765,767,372

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

The LCM of 986,904,765,767,372 is 476853441480.

Find LCM of 986,904,765,767,372 with Prime Factorization


2 986, 904, 765, 767, 372
2 493, 452, 765, 767, 186
3 493, 226, 765, 767, 93
17 493, 226, 255, 767, 31
29, 226, 15, 767, 31

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

2 x 2 x 3 x 17 x 29 x 226 x 15 x 767 x 31 = 476853441480

Therefore, the lowest common multiple of 986,904,765,767,372 is 476853441480.

LCM Formula to Find Lowest Common Multiple of 986,904,765,767,372

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.

986 x 904 x 765 x 767 x 372 = 194556204123840

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

904 : 1, 2, 4, 8, 113, 226, 452, 904

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

767 : 1, 13, 59, 767

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,904,765,767,372, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

904:2x 2x 2x 113

765:3x 3x 5x 17

767:13x 59

372:2x 2x 3x 31

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 2x 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 194556204123840/(1x408)

LCM = 194556204123840/408

LCM = 476853441480

Thus, we can understand that the LCM of 986,904,765,767,372 is 476853441480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 904, 765, 767, 372

1. What is the LCM of 986, 904, 765, 767, 372?

Answer: LCM of 986, 904, 765, 767, 372 is 476853441480.

2. How to calculate the LCM of 986, 904, 765, 767, 372?

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 986, 904, 765, 767, 372.

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}.