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LCM of 161, 627, 124, 644

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


Find the LCM of 161, 627, 124, 644 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, 627, 124, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 161,627,124,644

Given numbers are 161,627,124,644

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

The LCM of 161,627,124,644 is 12517428.

Find LCM of 161,627,124,644 with Prime Factorization


2 161, 627, 124, 644
2 161, 627, 62, 322
7 161, 627, 31, 161
23 23, 627, 31, 23
1, 627, 31, 1

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

2 x 2 x 7 x 23 x 1 x 627 x 31 x 1 = 12517428

Therefore, the lowest common multiple of 161,627,124,644 is 12517428.

LCM Formula to Find Lowest Common Multiple of 161,627,124,644

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 627 x 124 x 644 = 8061223632

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

627 : 1, 3, 11, 19, 33, 57, 209, 627

124 : 1, 2, 4, 31, 62, 124

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,627,124,644, is 1.

Now, the common factors can be found like this.

161:7x 23

627:3x 11x 19

124:2x 2x 31

644:2x 2x 7x 23

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 7x 23 = 644

Therefore, the value for common factors is 644.

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 = 8061223632/(1x644)

LCM = 8061223632/644

LCM = 12517428

Thus, we can understand that the LCM of 161,627,124,644 is 12517428.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 161, 627, 124, 644

1. What is the LCM of 161, 627, 124, 644?

Answer: LCM of 161, 627, 124, 644 is 12517428.

2. How to calculate the LCM of 161, 627, 124, 644?

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, 627, 124, 644.

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}.