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LCM of 120, 305, 131, 530, 653

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


Find the LCM of 120, 305, 131, 530, 653 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 120, 305, 131, 530, 653. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 120,305,131,530,653

Given numbers are 120,305,131,530,653

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

The LCM of 120,305,131,530,653 is 33187262280.

Find LCM of 120,305,131,530,653 with Prime Factorization


2 120, 305, 131, 530, 653
5 60, 305, 131, 265, 653
12, 61, 131, 53, 653

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

2 x 5 x 12 x 61 x 131 x 53 x 653 = 33187262280

Therefore, the lowest common multiple of 120,305,131,530,653 is 33187262280.

LCM Formula to Find Lowest Common Multiple of 120,305,131,530,653

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.

120 x 305 x 131 x 530 x 653 = 1659363114000

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

305 : 1, 5, 61, 305

131 : 1, 131

530 : 1, 2, 5, 10, 53, 106, 265, 530

653 : 1, 653

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,305,131,530,653, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

305:5x 61

131:131

530:2x 5x 53

653:653

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 1659363114000/(1x50)

LCM = 1659363114000/50

LCM = 33187262280

Thus, we can understand that the LCM of 120,305,131,530,653 is 33187262280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 120, 305, 131, 530, 653

1. What is the LCM of 120, 305, 131, 530, 653?

Answer: LCM of 120, 305, 131, 530, 653 is 33187262280.

2. How to calculate the LCM of 120, 305, 131, 530, 653?

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 120, 305, 131, 530, 653.

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}.