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LCM of 264, 196, 815, 735, 131

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


Find the LCM of 264, 196, 815, 735, 131 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 264, 196, 815, 735, 131. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 264,196,815,735,131

Given numbers are 264,196,815,735,131

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

The LCM of 264,196,815,735,131 is 1381112040.

Find LCM of 264,196,815,735,131 with Prime Factorization


2 264, 196, 815, 735, 131
2 132, 98, 815, 735, 131
3 66, 49, 815, 735, 131
5 22, 49, 815, 245, 131
7 22, 49, 163, 49, 131
7 22, 7, 163, 7, 131
22, 1, 163, 1, 131

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

2 x 2 x 3 x 5 x 7 x 7 x 22 x 1 x 163 x 1 x 131 = 1381112040

Therefore, the lowest common multiple of 264,196,815,735,131 is 1381112040.

LCM Formula to Find Lowest Common Multiple of 264,196,815,735,131

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.

264 x 196 x 815 x 735 x 131 = 4060469397600

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

815 : 1, 5, 163, 815

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

131 : 1, 131

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,196,815,735,131, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

196:2x 2x 7x 7

815:5x 163

735:3x 5x 7x 7

131:131

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 3x 5x 7x 7 = 2940

Therefore, the value for common factors is 2940.

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 = 4060469397600/(1x2940)

LCM = 4060469397600/2940

LCM = 1381112040

Thus, we can understand that the LCM of 264,196,815,735,131 is 1381112040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 264, 196, 815, 735, 131

1. What is the LCM of 264, 196, 815, 735, 131?

Answer: LCM of 264, 196, 815, 735, 131 is 1381112040.

2. How to calculate the LCM of 264, 196, 815, 735, 131?

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 264, 196, 815, 735, 131.

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}.