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LCM of 544, 122, 488, 117

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


Find the LCM of 544, 122, 488, 117 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 544, 122, 488, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 544,122,488,117

Given numbers are 544,122,488,117

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

The LCM of 544,122,488,117 is 3882528.

Find LCM of 544,122,488,117 with Prime Factorization


2 544, 122, 488, 117
2 272, 61, 244, 117
2 136, 61, 122, 117
61 68, 61, 61, 117
68, 1, 1, 117

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

2 x 2 x 2 x 61 x 68 x 1 x 1 x 117 = 3882528

Therefore, the lowest common multiple of 544,122,488,117 is 3882528.

LCM Formula to Find Lowest Common Multiple of 544,122,488,117

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.

544 x 122 x 488 x 117 = 3789347328

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

122 : 1, 2, 61, 122

488 : 1, 2, 4, 8, 61, 122, 244, 488

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,122,488,117, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

122:2x 61

488:2x 2x 2x 61

117:3x 3x 13

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 2x 2x 61 = 976

Therefore, the value for common factors is 976.

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 = 3789347328/(1x976)

LCM = 3789347328/976

LCM = 3882528

Thus, we can understand that the LCM of 544,122,488,117 is 3882528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 544, 122, 488, 117

1. What is the LCM of 544, 122, 488, 117?

Answer: LCM of 544, 122, 488, 117 is 3882528.

2. How to calculate the LCM of 544, 122, 488, 117?

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 544, 122, 488, 117.

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}.