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LCM of 421, 341, 596, 820

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


Find the LCM of 421, 341, 596, 820 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 421, 341, 596, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,341,596,820

Given numbers are 421,341,596,820

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

The LCM of 421,341,596,820 is 17540282980.

Find LCM of 421,341,596,820 with Prime Factorization


2 421, 341, 596, 820
2 421, 341, 298, 410
421, 341, 149, 205

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

2 x 2 x 421 x 341 x 149 x 205 = 17540282980

Therefore, the lowest common multiple of 421,341,596,820 is 17540282980.

LCM Formula to Find Lowest Common Multiple of 421,341,596,820

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.

421 x 341 x 596 x 820 = 70161131920

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.

421 : 1, 421

341 : 1, 11, 31, 341

596 : 1, 2, 4, 149, 298, 596

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,341,596,820, is 1.

Now, the common factors can be found like this.

421:421

341:11x 31

596:2x 2x 149

820:2x 2x 5x 41

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 70161131920/(1x4)

LCM = 70161131920/4

LCM = 17540282980

Thus, we can understand that the LCM of 421,341,596,820 is 17540282980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 341, 596, 820

1. What is the LCM of 421, 341, 596, 820?

Answer: LCM of 421, 341, 596, 820 is 17540282980.

2. How to calculate the LCM of 421, 341, 596, 820?

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 421, 341, 596, 820.

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}.