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LCM of 409, 409, 225, 442

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


Find the LCM of 409, 409, 225, 442 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, 409, 225, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,409,225,442

Given numbers are 409,409,225,442

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

The LCM of 409,409,225,442 is 40675050.

Find LCM of 409,409,225,442 with Prime Factorization


409 409, 409, 225, 442
1, 1, 225, 442

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

409 x 1 x 1 x 225 x 442 = 40675050

Therefore, the lowest common multiple of 409,409,225,442 is 40675050.

LCM Formula to Find Lowest Common Multiple of 409,409,225,442

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 409 x 225 x 442 = 16636095450

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

409 : 1, 409

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,409,225,442, is 1.

Now, the common factors can be found like this.

409:409

409:409

225:3x 3x 5x 5

442:2x 13x 17

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

409 = 409

Therefore, the value for common factors is 409.

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 = 16636095450/(1x409)

LCM = 16636095450/409

LCM = 40675050

Thus, we can understand that the LCM of 409,409,225,442 is 40675050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 409, 225, 442

1. What is the LCM of 409, 409, 225, 442?

Answer: LCM of 409, 409, 225, 442 is 40675050.

2. How to calculate the LCM of 409, 409, 225, 442?

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, 409, 225, 442.

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}.