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LCM of 244, 122, 577, 522

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


Find the LCM of 244, 122, 577, 522 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 244, 122, 577, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 244,122,577,522

Given numbers are 244,122,577,522

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

The LCM of 244,122,577,522 is 36745668.

Find LCM of 244,122,577,522 with Prime Factorization


2 244, 122, 577, 522
61 122, 61, 577, 261
2, 1, 577, 261

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

2 x 61 x 2 x 1 x 577 x 261 = 36745668

Therefore, the lowest common multiple of 244,122,577,522 is 36745668.

LCM Formula to Find Lowest Common Multiple of 244,122,577,522

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.

244 x 122 x 577 x 522 = 8965942992

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.

244 : 1, 2, 4, 61, 122, 244

122 : 1, 2, 61, 122

577 : 1, 577

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,122,577,522, is 1.

Now, the common factors can be found like this.

244:2x 2x 61

122:2x 61

577:577

522:2x 3x 3x 29

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 61 = 244

Therefore, the value for common factors is 244.

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 = 8965942992/(1x244)

LCM = 8965942992/244

LCM = 36745668

Thus, we can understand that the LCM of 244,122,577,522 is 36745668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 244, 122, 577, 522

1. What is the LCM of 244, 122, 577, 522?

Answer: LCM of 244, 122, 577, 522 is 36745668.

2. How to calculate the LCM of 244, 122, 577, 522?

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 244, 122, 577, 522.

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}.