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LCM of 420, 879, 452, 767, 271

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


Find the LCM of 420, 879, 452, 767, 271 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 420, 879, 452, 767, 271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 420,879,452,767,271

Given numbers are 420,879,452,767,271

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

The LCM of 420,879,452,767,271 is 2890413713460.

Find LCM of 420,879,452,767,271 with Prime Factorization


2 420, 879, 452, 767, 271
2 210, 879, 226, 767, 271
3 105, 879, 113, 767, 271
35, 293, 113, 767, 271

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

2 x 2 x 3 x 35 x 293 x 113 x 767 x 271 = 2890413713460

Therefore, the lowest common multiple of 420,879,452,767,271 is 2890413713460.

LCM Formula to Find Lowest Common Multiple of 420,879,452,767,271

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.

420 x 879 x 452 x 767 x 271 = 34684964561520

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

879 : 1, 3, 293, 879

452 : 1, 2, 4, 113, 226, 452

767 : 1, 13, 59, 767

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,879,452,767,271, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

879:3x 293

452:2x 2x 113

767:13x 59

271:271

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 3 = 12

Therefore, the value for common factors is 12.

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 = 34684964561520/(1x12)

LCM = 34684964561520/12

LCM = 2890413713460

Thus, we can understand that the LCM of 420,879,452,767,271 is 2890413713460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 420, 879, 452, 767, 271

1. What is the LCM of 420, 879, 452, 767, 271?

Answer: LCM of 420, 879, 452, 767, 271 is 2890413713460.

2. How to calculate the LCM of 420, 879, 452, 767, 271?

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 420, 879, 452, 767, 271.

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}.