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LCM of 89, 52, 35, 13, 851

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


Find the LCM of 89, 52, 35, 13, 851 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 89, 52, 35, 13, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 89,52,35,13,851

Given numbers are 89,52,35,13,851

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

The LCM of 89,52,35,13,851 is 137844980.

Find LCM of 89,52,35,13,851 with Prime Factorization


13 89, 52, 35, 13, 851
89, 4, 35, 1, 851

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

13 x 89 x 4 x 35 x 1 x 851 = 137844980

Therefore, the lowest common multiple of 89,52,35,13,851 is 137844980.

LCM Formula to Find Lowest Common Multiple of 89,52,35,13,851

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.

89 x 52 x 35 x 13 x 851 = 1791984740

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.

89 : 1, 89

52 : 1, 2, 4, 13, 26, 52

35 : 1, 5, 7, 35

13 : 1, 13

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 89,52,35,13,851, is 1.

Now, the common factors can be found like this.

89:89

52:2x 2x 13

35:5x 7

13:13

851:23x 37

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

13 = 13

Therefore, the value for common factors is 13.

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 = 1791984740/(1x13)

LCM = 1791984740/13

LCM = 137844980

Thus, we can understand that the LCM of 89,52,35,13,851 is 137844980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 89, 52, 35, 13, 851

1. What is the LCM of 89, 52, 35, 13, 851?

Answer: LCM of 89, 52, 35, 13, 851 is 137844980.

2. How to calculate the LCM of 89, 52, 35, 13, 851?

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 89, 52, 35, 13, 851.

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}.