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LCM of 113, 452, 169

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


Find the LCM of 113, 452, 169 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 113, 452, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 113,452,169

Given numbers are 113,452,169

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

The LCM of 113,452,169 is 76388.

Find LCM of 113,452,169 with Prime Factorization


113 113, 452, 169
1, 4, 169

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

113 x 1 x 4 x 169 = 76388

Therefore, the lowest common multiple of 113,452,169 is 76388.

LCM Formula to Find Lowest Common Multiple of 113,452,169

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.

113 x 452 x 169 = 8631844

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.

113 : 1, 113

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

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,452,169, is 1.

Now, the common factors can be found like this.

113:113

452:2x 2x 113

169:13x 13

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

113 = 113

Therefore, the value for common factors is 113.

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 = 8631844/(1x113)

LCM = 8631844/113

LCM = 76388

Thus, we can understand that the LCM of 113,452,169 is 76388.

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FAQs on LCM of 113, 452, 169

1. What is the LCM of 113, 452, 169?

Answer: LCM of 113, 452, 169 is 76388.

2. How to calculate the LCM of 113, 452, 169?

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 113, 452, 169.

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}.