LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 598, 391, 596, 922, 517

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


Find the LCM of 598, 391, 596, 922, 517 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 598, 391, 596, 922, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,391,596,922,517

Given numbers are 598,391,596,922,517

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

The LCM of 598,391,596,922,517 is 722034314716.

Find LCM of 598,391,596,922,517 with Prime Factorization


2 598, 391, 596, 922, 517
23 299, 391, 298, 461, 517
13, 17, 298, 461, 517

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

2 x 23 x 13 x 17 x 298 x 461 x 517 = 722034314716

Therefore, the lowest common multiple of 598,391,596,922,517 is 722034314716.

LCM Formula to Find Lowest Common Multiple of 598,391,596,922,517

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.

598 x 391 x 596 x 922 x 517 = 66427156953872

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.

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

391 : 1, 17, 23, 391

596 : 1, 2, 4, 149, 298, 596

922 : 1, 2, 461, 922

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,391,596,922,517, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

391:17x 23

596:2x 2x 149

922:2x 461

517:11x 47

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 23 = 92

Therefore, the value for common factors is 92.

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 = 66427156953872/(1x92)

LCM = 66427156953872/92

LCM = 722034314716

Thus, we can understand that the LCM of 598,391,596,922,517 is 722034314716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 391, 596, 922, 517

1. What is the LCM of 598, 391, 596, 922, 517?

Answer: LCM of 598, 391, 596, 922, 517 is 722034314716.

2. How to calculate the LCM of 598, 391, 596, 922, 517?

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 598, 391, 596, 922, 517.

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}.