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LCM of 904, 928, 637, 121, 203

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


Find the LCM of 904, 928, 637, 121, 203 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 904, 928, 637, 121, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 904,928,637,121,203

Given numbers are 904,928,637,121,203

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

The LCM of 904,928,637,121,203 is 8082602528.

Find LCM of 904,928,637,121,203 with Prime Factorization


2 904, 928, 637, 121, 203
2 452, 464, 637, 121, 203
2 226, 232, 637, 121, 203
7 113, 116, 637, 121, 203
29 113, 116, 91, 121, 29
113, 4, 91, 121, 1

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

2 x 2 x 2 x 7 x 29 x 113 x 4 x 91 x 121 x 1 = 8082602528

Therefore, the lowest common multiple of 904,928,637,121,203 is 8082602528.

LCM Formula to Find Lowest Common Multiple of 904,928,637,121,203

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.

904 x 928 x 637 x 121 x 203 = 13126146505472

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.

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

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

637 : 1, 7, 13, 49, 91, 637

121 : 1, 11, 121

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,928,637,121,203, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

928:2x 2x 2x 2x 2x 29

637:7x 7x 13

121:11x 11

203:7x 29

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 7x 29 = 1624

Therefore, the value for common factors is 1624.

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 = 13126146505472/(1x1624)

LCM = 13126146505472/1624

LCM = 8082602528

Thus, we can understand that the LCM of 904,928,637,121,203 is 8082602528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 904, 928, 637, 121, 203

1. What is the LCM of 904, 928, 637, 121, 203?

Answer: LCM of 904, 928, 637, 121, 203 is 8082602528.

2. How to calculate the LCM of 904, 928, 637, 121, 203?

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 904, 928, 637, 121, 203.

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}.