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LCM of 754, 551, 219, 507

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


Find the LCM of 754, 551, 219, 507 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 754, 551, 219, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,551,219,507

Given numbers are 754,551,219,507

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

The LCM of 754,551,219,507 is 40786122.

Find LCM of 754,551,219,507 with Prime Factorization


3 754, 551, 219, 507
13 754, 551, 73, 169
29 58, 551, 73, 13
2, 19, 73, 13

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

3 x 13 x 29 x 2 x 19 x 73 x 13 = 40786122

Therefore, the lowest common multiple of 754,551,219,507 is 40786122.

LCM Formula to Find Lowest Common Multiple of 754,551,219,507

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.

754 x 551 x 219 x 507 = 46129103982

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

551 : 1, 19, 29, 551

219 : 1, 3, 73, 219

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,551,219,507, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

551:19x 29

219:3x 73

507:3x 13x 13

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

3x 13x 29 = 1131

Therefore, the value for common factors is 1131.

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 = 46129103982/(1x1131)

LCM = 46129103982/1131

LCM = 40786122

Thus, we can understand that the LCM of 754,551,219,507 is 40786122.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 551, 219, 507

1. What is the LCM of 754, 551, 219, 507?

Answer: LCM of 754, 551, 219, 507 is 40786122.

2. How to calculate the LCM of 754, 551, 219, 507?

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 754, 551, 219, 507.

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}.