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LCM of 409, 137, 403, 637, 802

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


Find the LCM of 409, 137, 403, 637, 802 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 409, 137, 403, 637, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,137,403,637,802

Given numbers are 409,137,403,637,802

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

The LCM of 409,137,403,637,802 is 887399888102.

Find LCM of 409,137,403,637,802 with Prime Factorization


13 409, 137, 403, 637, 802
409, 137, 31, 49, 802

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

13 x 409 x 137 x 31 x 49 x 802 = 887399888102

Therefore, the lowest common multiple of 409,137,403,637,802 is 887399888102.

LCM Formula to Find Lowest Common Multiple of 409,137,403,637,802

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.

409 x 137 x 403 x 637 x 802 = 11536198545326

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.

409 : 1, 409

137 : 1, 137

403 : 1, 13, 31, 403

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

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,137,403,637,802, is 1.

Now, the common factors can be found like this.

409:409

137:137

403:13x 31

637:7x 7x 13

802:2x 401

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

13 = 13

Therefore, the value for common factors is 13.

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 = 11536198545326/(1x13)

LCM = 11536198545326/13

LCM = 887399888102

Thus, we can understand that the LCM of 409,137,403,637,802 is 887399888102.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 137, 403, 637, 802

1. What is the LCM of 409, 137, 403, 637, 802?

Answer: LCM of 409, 137, 403, 637, 802 is 887399888102.

2. How to calculate the LCM of 409, 137, 403, 637, 802?

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 409, 137, 403, 637, 802.

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}.