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LCM of 6438, 5118

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


Find the LCM of 6438, 5118 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 6438, 5118. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6438,5118

Given numbers are 6438,5118

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

The LCM of 6438,5118 is 5491614.

Find LCM of 6438,5118 with Prime Factorization


2 6438, 5118
3 3219, 2559
1073, 853

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

2 x 3 x 1073 x 853 = 5491614

Therefore, the lowest common multiple of 6438,5118 is 5491614.

LCM Formula to Find Lowest Common Multiple of 6438,5118

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.

6438 x 5118 = 32949684

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.

6438 : 1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438

5118 : 1, 2, 3, 6, 853, 1706, 2559, 5118

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6438,5118, is 6.

Now, the common factors can be found like this.

6438:2x 3x 29x 37

5118:2x 3x 853

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

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 = 32949684/(6x1)

LCM = 32949684/6

LCM = 5491614

Thus, we can understand that the LCM of 6438,5118 is 5491614.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6438, 5118

1. What is the LCM of 6438, 5118?

Answer: LCM of 6438, 5118 is 5491614.

2. How to calculate the LCM of 6438, 5118?

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 6438, 5118.

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}.