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LCM of 409, 403, 273, 775

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


Find the LCM of 409, 403, 273, 775 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, 403, 273, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,403,273,775

Given numbers are 409,403,273,775

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

The LCM of 409,403,273,775 is 86534175.

Find LCM of 409,403,273,775 with Prime Factorization


13 409, 403, 273, 775
31 409, 31, 21, 775
409, 1, 21, 25

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

13 x 31 x 409 x 1 x 21 x 25 = 86534175

Therefore, the lowest common multiple of 409,403,273,775 is 86534175.

LCM Formula to Find Lowest Common Multiple of 409,403,273,775

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 403 x 273 x 775 = 34873272525

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

403 : 1, 13, 31, 403

273 : 1, 3, 7, 13, 21, 39, 91, 273

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,403,273,775, is 1.

Now, the common factors can be found like this.

409:409

403:13x 31

273:3x 7x 13

775:5x 5x 31

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

13x 31 = 403

Therefore, the value for common factors is 403.

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 = 34873272525/(1x403)

LCM = 34873272525/403

LCM = 86534175

Thus, we can understand that the LCM of 409,403,273,775 is 86534175.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 403, 273, 775

1. What is the LCM of 409, 403, 273, 775?

Answer: LCM of 409, 403, 273, 775 is 86534175.

2. How to calculate the LCM of 409, 403, 273, 775?

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, 403, 273, 775.

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}.