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LCM of 513, 218, 684, 349, 502

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


Find the LCM of 513, 218, 684, 349, 502 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 513, 218, 684, 349, 502. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,218,684,349,502

Given numbers are 513,218,684,349,502

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

The LCM of 513,218,684,349,502 is 19593093132.

Find LCM of 513,218,684,349,502 with Prime Factorization


2 513, 218, 684, 349, 502
3 513, 109, 342, 349, 251
3 171, 109, 114, 349, 251
19 57, 109, 38, 349, 251
3, 109, 2, 349, 251

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

2 x 3 x 3 x 19 x 3 x 109 x 2 x 349 x 251 = 19593093132

Therefore, the lowest common multiple of 513,218,684,349,502 is 19593093132.

LCM Formula to Find Lowest Common Multiple of 513,218,684,349,502

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.

513 x 218 x 684 x 349 x 502 = 13401675702288

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

218 : 1, 2, 109, 218

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

349 : 1, 349

502 : 1, 2, 251, 502

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,218,684,349,502, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

218:2x 109

684:2x 2x 3x 3x 19

349:349

502:2x 251

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 3x 3x 19 = 684

Therefore, the value for common factors is 684.

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 = 13401675702288/(1x684)

LCM = 13401675702288/684

LCM = 19593093132

Thus, we can understand that the LCM of 513,218,684,349,502 is 19593093132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 218, 684, 349, 502

1. What is the LCM of 513, 218, 684, 349, 502?

Answer: LCM of 513, 218, 684, 349, 502 is 19593093132.

2. How to calculate the LCM of 513, 218, 684, 349, 502?

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 513, 218, 684, 349, 502.

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}.