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LCM of 609, 460, 991, 551

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


Find the LCM of 609, 460, 991, 551 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, 460, 991, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,460,991,551

Given numbers are 609,460,991,551

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

The LCM of 609,460,991,551 is 5274756060.

Find LCM of 609,460,991,551 with Prime Factorization


29 609, 460, 991, 551
21, 460, 991, 19

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

29 x 21 x 460 x 991 x 19 = 5274756060

Therefore, the lowest common multiple of 609,460,991,551 is 5274756060.

LCM Formula to Find Lowest Common Multiple of 609,460,991,551

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 460 x 991 x 551 = 152967925740

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

991 : 1, 991

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,460,991,551, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

460:2x 2x 5x 23

991:991

551:19x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 152967925740/(1x29)

LCM = 152967925740/29

LCM = 5274756060

Thus, we can understand that the LCM of 609,460,991,551 is 5274756060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 609, 460, 991, 551

1. What is the LCM of 609, 460, 991, 551?

Answer: LCM of 609, 460, 991, 551 is 5274756060.

2. How to calculate the LCM of 609, 460, 991, 551?

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, 460, 991, 551.

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}.