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LCM of 649, 502, 403, 753

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


Find the LCM of 649, 502, 403, 753 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 649, 502, 403, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,502,403,753

Given numbers are 649,502,403,753

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

The LCM of 649,502,403,753 is 393889782.

Find LCM of 649,502,403,753 with Prime Factorization


251 649, 502, 403, 753
649, 2, 403, 3

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

251 x 649 x 2 x 403 x 3 = 393889782

Therefore, the lowest common multiple of 649,502,403,753 is 393889782.

LCM Formula to Find Lowest Common Multiple of 649,502,403,753

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.

649 x 502 x 403 x 753 = 98866335282

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.

649 : 1, 11, 59, 649

502 : 1, 2, 251, 502

403 : 1, 13, 31, 403

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,502,403,753, is 1.

Now, the common factors can be found like this.

649:11x 59

502:2x 251

403:13x 31

753:3x 251

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

251 = 251

Therefore, the value for common factors is 251.

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 = 98866335282/(1x251)

LCM = 98866335282/251

LCM = 393889782

Thus, we can understand that the LCM of 649,502,403,753 is 393889782.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 502, 403, 753

1. What is the LCM of 649, 502, 403, 753?

Answer: LCM of 649, 502, 403, 753 is 393889782.

2. How to calculate the LCM of 649, 502, 403, 753?

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 649, 502, 403, 753.

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}.