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LCM of 409, 622, 508, 219

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


Find the LCM of 409, 622, 508, 219 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, 622, 508, 219. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,622,508,219

Given numbers are 409,622,508,219

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

The LCM of 409,622,508,219 is 14151143148.

Find LCM of 409,622,508,219 with Prime Factorization


2 409, 622, 508, 219
409, 311, 254, 219

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

2 x 409 x 311 x 254 x 219 = 14151143148

Therefore, the lowest common multiple of 409,622,508,219 is 14151143148.

LCM Formula to Find Lowest Common Multiple of 409,622,508,219

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 622 x 508 x 219 = 28302286296

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

622 : 1, 2, 311, 622

508 : 1, 2, 4, 127, 254, 508

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,622,508,219, is 1.

Now, the common factors can be found like this.

409:409

622:2x 311

508:2x 2x 127

219:3x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 28302286296/(1x2)

LCM = 28302286296/2

LCM = 14151143148

Thus, we can understand that the LCM of 409,622,508,219 is 14151143148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 622, 508, 219

1. What is the LCM of 409, 622, 508, 219?

Answer: LCM of 409, 622, 508, 219 is 14151143148.

2. How to calculate the LCM of 409, 622, 508, 219?

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, 622, 508, 219.

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}.