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LCM of 609, 464, 116, 242

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


Find the LCM of 609, 464, 116, 242 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 609, 464, 116, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,464,116,242

Given numbers are 609,464,116,242

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

The LCM of 609,464,116,242 is 1179024.

Find LCM of 609,464,116,242 with Prime Factorization


2 609, 464, 116, 242
2 609, 232, 58, 121
29 609, 116, 29, 121
21, 4, 1, 121

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

2 x 2 x 29 x 21 x 4 x 1 x 121 = 1179024

Therefore, the lowest common multiple of 609,464,116,242 is 1179024.

LCM Formula to Find Lowest Common Multiple of 609,464,116,242

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.

609 x 464 x 116 x 242 = 7932473472

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.

609 : 1, 3, 7, 21, 29, 87, 203, 609

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

116 : 1, 2, 4, 29, 58, 116

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,464,116,242, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

464:2x 2x 2x 2x 29

116:2x 2x 29

242:2x 11x 11

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 29x 29 = 6728

Therefore, the value for common factors is 6728.

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 = 7932473472/(1x6728)

LCM = 7932473472/6728

LCM = 1179024

Thus, we can understand that the LCM of 609,464,116,242 is 1179024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 609, 464, 116, 242

1. What is the LCM of 609, 464, 116, 242?

Answer: LCM of 609, 464, 116, 242 is 1179024.

2. How to calculate the LCM of 609, 464, 116, 242?

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 609, 464, 116, 242.

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}.