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LCM of 161, 344, 652, 652

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


Find the LCM of 161, 344, 652, 652 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 161, 344, 652, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 161,344,652,652

Given numbers are 161,344,652,652

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

The LCM of 161,344,652,652 is 9027592.

Find LCM of 161,344,652,652 with Prime Factorization


2 161, 344, 652, 652
2 161, 172, 326, 326
163 161, 86, 163, 163
161, 86, 1, 1

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

2 x 2 x 163 x 161 x 86 x 1 x 1 = 9027592

Therefore, the lowest common multiple of 161,344,652,652 is 9027592.

LCM Formula to Find Lowest Common Multiple of 161,344,652,652

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.

161 x 344 x 652 x 652 = 23543959936

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.

161 : 1, 7, 23, 161

344 : 1, 2, 4, 8, 43, 86, 172, 344

652 : 1, 2, 4, 163, 326, 652

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,344,652,652, is 1.

Now, the common factors can be found like this.

161:7x 23

344:2x 2x 2x 43

652:2x 2x 163

652:2x 2x 163

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 2x 163 = 2608

Therefore, the value for common factors is 2608.

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 = 23543959936/(1x2608)

LCM = 23543959936/2608

LCM = 9027592

Thus, we can understand that the LCM of 161,344,652,652 is 9027592.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 161, 344, 652, 652

1. What is the LCM of 161, 344, 652, 652?

Answer: LCM of 161, 344, 652, 652 is 9027592.

2. How to calculate the LCM of 161, 344, 652, 652?

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 161, 344, 652, 652.

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}.