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LCM of 222, 409, 409, 655

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


Find the LCM of 222, 409, 409, 655 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 222, 409, 409, 655. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 222,409,409,655

Given numbers are 222,409,409,655

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

The LCM of 222,409,409,655 is 59472690.

Find LCM of 222,409,409,655 with Prime Factorization


409 222, 409, 409, 655
222, 1, 1, 655

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

409 x 222 x 1 x 1 x 655 = 59472690

Therefore, the lowest common multiple of 222,409,409,655 is 59472690.

LCM Formula to Find Lowest Common Multiple of 222,409,409,655

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.

222 x 409 x 409 x 655 = 24324330210

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.

222 : 1, 2, 3, 6, 37, 74, 111, 222

409 : 1, 409

409 : 1, 409

655 : 1, 5, 131, 655

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,409,409,655, is 1.

Now, the common factors can be found like this.

222:2x 3x 37

409:409

409:409

655:5x 131

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 = 24324330210/(1x409)

LCM = 24324330210/409

LCM = 59472690

Thus, we can understand that the LCM of 222,409,409,655 is 59472690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 222, 409, 409, 655

1. What is the LCM of 222, 409, 409, 655?

Answer: LCM of 222, 409, 409, 655 is 59472690.

2. How to calculate the LCM of 222, 409, 409, 655?

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 222, 409, 409, 655.

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}.