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LCM of 820, 267, 424, 655

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


Find the LCM of 820, 267, 424, 655 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 820, 267, 424, 655. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,267,424,655

Given numbers are 820,267,424,655

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

The LCM of 820,267,424,655 is 3040200840.

Find LCM of 820,267,424,655 with Prime Factorization


2 820, 267, 424, 655
2 410, 267, 212, 655
5 205, 267, 106, 655
41, 267, 106, 131

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

2 x 2 x 5 x 41 x 267 x 106 x 131 = 3040200840

Therefore, the lowest common multiple of 820,267,424,655 is 3040200840.

LCM Formula to Find Lowest Common Multiple of 820,267,424,655

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.

820 x 267 x 424 x 655 = 60804016800

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

267 : 1, 3, 89, 267

424 : 1, 2, 4, 8, 53, 106, 212, 424

655 : 1, 5, 131, 655

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,267,424,655, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

267:3x 89

424:2x 2x 2x 53

655:5x 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 5 = 20

Therefore, the value for common factors is 20.

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 = 60804016800/(1x20)

LCM = 60804016800/20

LCM = 3040200840

Thus, we can understand that the LCM of 820,267,424,655 is 3040200840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 820, 267, 424, 655

1. What is the LCM of 820, 267, 424, 655?

Answer: LCM of 820, 267, 424, 655 is 3040200840.

2. How to calculate the LCM of 820, 267, 424, 655?

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 820, 267, 424, 655.

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}.