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LCM of 4978, 6418

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


Find the LCM of 4978, 6418 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 4978, 6418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4978,6418

Given numbers are 4978,6418

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

The LCM of 4978,6418 is 15974402.

Find LCM of 4978,6418 with Prime Factorization


2 4978, 6418
2489, 3209

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

2 x 2489 x 3209 = 15974402

Therefore, the lowest common multiple of 4978,6418 is 15974402.

LCM Formula to Find Lowest Common Multiple of 4978,6418

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.

4978 x 6418 = 31948804

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.

4978 : 1, 2, 19, 38, 131, 262, 2489, 4978

6418 : 1, 2, 3209, 6418

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4978,6418, is 2.

Now, the common factors can be found like this.

4978:2x 19x 131

6418:2x 3209

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 = 31948804/(2x1)

LCM = 31948804/2

LCM = 15974402

Thus, we can understand that the LCM of 4978,6418 is 15974402.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4978, 6418

1. What is the LCM of 4978, 6418?

Answer: LCM of 4978, 6418 is 15974402.

2. How to calculate the LCM of 4978, 6418?

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 4978, 6418.

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}.