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LCM of 820, 212, 741, 424

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


Find the LCM of 820, 212, 741, 424 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, 212, 741, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,212,741,424

Given numbers are 820,212,741,424

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

The LCM of 820,212,741,424 is 64407720.

Find LCM of 820,212,741,424 with Prime Factorization


2 820, 212, 741, 424
2 410, 106, 741, 212
53 205, 53, 741, 106
205, 1, 741, 2

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

2 x 2 x 53 x 205 x 1 x 741 x 2 = 64407720

Therefore, the lowest common multiple of 820,212,741,424 is 64407720.

LCM Formula to Find Lowest Common Multiple of 820,212,741,424

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 212 x 741 x 424 = 54617746560

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

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,212,741,424, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

212:2x 2x 53

741:3x 13x 19

424:2x 2x 2x 53

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 2x 2x 53 = 848

Therefore, the value for common factors is 848.

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 = 54617746560/(1x848)

LCM = 54617746560/848

LCM = 64407720

Thus, we can understand that the LCM of 820,212,741,424 is 64407720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 820, 212, 741, 424

1. What is the LCM of 820, 212, 741, 424?

Answer: LCM of 820, 212, 741, 424 is 64407720.

2. How to calculate the LCM of 820, 212, 741, 424?

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, 212, 741, 424.

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}.