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LCM of 754, 247, 538, 637, 630

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


Find the LCM of 754, 247, 538, 637, 630 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, 247, 538, 637, 630. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,247,538,637,630

Given numbers are 754,247,538,637,630

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

The LCM of 754,247,538,637,630 is 8497395270.

Find LCM of 754,247,538,637,630 with Prime Factorization


2 754, 247, 538, 637, 630
7 377, 247, 269, 637, 315
13 377, 247, 269, 91, 45
29, 19, 269, 7, 45

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

2 x 7 x 13 x 29 x 19 x 269 x 7 x 45 = 8497395270

Therefore, the lowest common multiple of 754,247,538,637,630 is 8497395270.

LCM Formula to Find Lowest Common Multiple of 754,247,538,637,630

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 247 x 538 x 637 x 630 = 40209674417640

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

247 : 1, 13, 19, 247

538 : 1, 2, 269, 538

637 : 1, 7, 13, 49, 91, 637

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,247,538,637,630, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

247:13x 19

538:2x 269

637:7x 7x 13

630:2x 3x 3x 5x 7

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 7x 13x 13 = 4732

Therefore, the value for common factors is 4732.

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 = 40209674417640/(1x4732)

LCM = 40209674417640/4732

LCM = 8497395270

Thus, we can understand that the LCM of 754,247,538,637,630 is 8497395270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 247, 538, 637, 630

1. What is the LCM of 754, 247, 538, 637, 630?

Answer: LCM of 754, 247, 538, 637, 630 is 8497395270.

2. How to calculate the LCM of 754, 247, 538, 637, 630?

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, 247, 538, 637, 630.

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}.