LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 551, 513, 513, 742

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


Find the LCM of 551, 513, 513, 742 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 551, 513, 513, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,513,513,742

Given numbers are 551,513,513,742

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

The LCM of 551,513,513,742 is 11038734.

Find LCM of 551,513,513,742 with Prime Factorization


3 551, 513, 513, 742
3 551, 171, 171, 742
3 551, 57, 57, 742
19 551, 19, 19, 742
29, 1, 1, 742

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

3 x 3 x 3 x 19 x 29 x 1 x 1 x 742 = 11038734

Therefore, the lowest common multiple of 551,513,513,742 is 11038734.

LCM Formula to Find Lowest Common Multiple of 551,513,513,742

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.

551 x 513 x 513 x 742 = 107594540298

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.

551 : 1, 19, 29, 551

513 : 1, 3, 9, 19, 27, 57, 171, 513

513 : 1, 3, 9, 19, 27, 57, 171, 513

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,513,513,742, is 1.

Now, the common factors can be found like this.

551:19x 29

513:3x 3x 3x 19

513:3x 3x 3x 19

742:2x 7x 53

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 19x 19 = 9747

Therefore, the value for common factors is 9747.

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 = 107594540298/(1x9747)

LCM = 107594540298/9747

LCM = 11038734

Thus, we can understand that the LCM of 551,513,513,742 is 11038734.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 513, 513, 742

1. What is the LCM of 551, 513, 513, 742?

Answer: LCM of 551, 513, 513, 742 is 11038734.

2. How to calculate the LCM of 551, 513, 513, 742?

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 551, 513, 513, 742.

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}.