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LCM of 577, 255, 772, 228, 409

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


Find the LCM of 577, 255, 772, 228, 409 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 577, 255, 772, 228, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,255,772,228,409

Given numbers are 577,255,772,228,409

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

The LCM of 577,255,772,228,409 is 882694057620.

Find LCM of 577,255,772,228,409 with Prime Factorization


2 577, 255, 772, 228, 409
2 577, 255, 386, 114, 409
3 577, 255, 193, 57, 409
577, 85, 193, 19, 409

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

2 x 2 x 3 x 577 x 85 x 193 x 19 x 409 = 882694057620

Therefore, the lowest common multiple of 577,255,772,228,409 is 882694057620.

LCM Formula to Find Lowest Common Multiple of 577,255,772,228,409

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.

577 x 255 x 772 x 228 x 409 = 10592328691440

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.

577 : 1, 577

255 : 1, 3, 5, 15, 17, 51, 85, 255

772 : 1, 2, 4, 193, 386, 772

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,255,772,228,409, is 1.

Now, the common factors can be found like this.

577:577

255:3x 5x 17

772:2x 2x 193

228:2x 2x 3x 19

409:409

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 10592328691440/(1x12)

LCM = 10592328691440/12

LCM = 882694057620

Thus, we can understand that the LCM of 577,255,772,228,409 is 882694057620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 255, 772, 228, 409

1. What is the LCM of 577, 255, 772, 228, 409?

Answer: LCM of 577, 255, 772, 228, 409 is 882694057620.

2. How to calculate the LCM of 577, 255, 772, 228, 409?

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 577, 255, 772, 228, 409.

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}.