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LCM of 544, 516, 207, 760, 598

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


Find the LCM of 544, 516, 207, 760, 598 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, 516, 207, 760, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 544,516,207,760,598

Given numbers are 544,516,207,760,598

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

The LCM of 544,516,207,760,598 is 5980047840.

Find LCM of 544,516,207,760,598 with Prime Factorization


2 544, 516, 207, 760, 598
2 272, 258, 207, 380, 299
2 136, 129, 207, 190, 299
3 68, 129, 207, 95, 299
23 68, 43, 69, 95, 299
68, 43, 3, 95, 13

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

2 x 2 x 2 x 3 x 23 x 68 x 43 x 3 x 95 x 13 = 5980047840

Therefore, the lowest common multiple of 544,516,207,760,598 is 5980047840.

LCM Formula to Find Lowest Common Multiple of 544,516,207,760,598

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 516 x 207 x 760 x 598 = 26407891261440

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

207 : 1, 3, 9, 23, 69, 207

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,516,207,760,598, is 1.

Now, the common factors can be found like this.

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

516:2x 2x 3x 43

207:3x 3x 23

760:2x 2x 2x 5x 19

598:2x 13x 23

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 2x 2x 3x 23 = 4416

Therefore, the value for common factors is 4416.

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 = 26407891261440/(1x4416)

LCM = 26407891261440/4416

LCM = 5980047840

Thus, we can understand that the LCM of 544,516,207,760,598 is 5980047840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 544, 516, 207, 760, 598

1. What is the LCM of 544, 516, 207, 760, 598?

Answer: LCM of 544, 516, 207, 760, 598 is 5980047840.

2. How to calculate the LCM of 544, 516, 207, 760, 598?

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, 516, 207, 760, 598.

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}.