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LCM of 609, 711, 261, 983

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


Find the LCM of 609, 711, 261, 983 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, 711, 261, 983. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,711,261,983

Given numbers are 609,711,261,983

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

The LCM of 609,711,261,983 is 141879339.

Find LCM of 609,711,261,983 with Prime Factorization


3 609, 711, 261, 983
3 203, 237, 87, 983
29 203, 79, 29, 983
7, 79, 1, 983

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

3 x 3 x 29 x 7 x 79 x 1 x 983 = 141879339

Therefore, the lowest common multiple of 609,711,261,983 is 141879339.

LCM Formula to Find Lowest Common Multiple of 609,711,261,983

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 711 x 261 x 983 = 111091522437

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

711 : 1, 3, 9, 79, 237, 711

261 : 1, 3, 9, 29, 87, 261

983 : 1, 983

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,711,261,983, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

711:3x 3x 79

261:3x 3x 29

983:983

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

3x 3x 3x 29 = 783

Therefore, the value for common factors is 783.

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 = 111091522437/(1x783)

LCM = 111091522437/783

LCM = 141879339

Thus, we can understand that the LCM of 609,711,261,983 is 141879339.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 609, 711, 261, 983

1. What is the LCM of 609, 711, 261, 983?

Answer: LCM of 609, 711, 261, 983 is 141879339.

2. How to calculate the LCM of 609, 711, 261, 983?

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, 711, 261, 983.

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}.