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LCM of 625, 861, 420, 484, 341

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


Find the LCM of 625, 861, 420, 484, 341 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 625, 861, 420, 484, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,861,420,484,341

Given numbers are 625,861,420,484,341

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

The LCM of 625,861,420,484,341 is 8074027500.

Find LCM of 625,861,420,484,341 with Prime Factorization


2 625, 861, 420, 484, 341
2 625, 861, 210, 242, 341
3 625, 861, 105, 121, 341
5 625, 287, 35, 121, 341
7 125, 287, 7, 121, 341
11 125, 41, 1, 121, 341
125, 41, 1, 11, 31

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

2 x 2 x 3 x 5 x 7 x 11 x 125 x 41 x 1 x 11 x 31 = 8074027500

Therefore, the lowest common multiple of 625,861,420,484,341 is 8074027500.

LCM Formula to Find Lowest Common Multiple of 625,861,420,484,341

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.

625 x 861 x 420 x 484 x 341 = 37302007050000

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.

625 : 1, 5, 25, 125, 625

861 : 1, 3, 7, 21, 41, 123, 287, 861

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,861,420,484,341, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

861:3x 7x 41

420:2x 2x 3x 5x 7

484:2x 2x 11x 11

341:11x 31

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 11 = 4620

Therefore, the value for common factors is 4620.

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 = 37302007050000/(1x4620)

LCM = 37302007050000/4620

LCM = 8074027500

Thus, we can understand that the LCM of 625,861,420,484,341 is 8074027500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 861, 420, 484, 341

1. What is the LCM of 625, 861, 420, 484, 341?

Answer: LCM of 625, 861, 420, 484, 341 is 8074027500.

2. How to calculate the LCM of 625, 861, 420, 484, 341?

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 625, 861, 420, 484, 341.

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}.