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LCM of 7914, 6254

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


Find the LCM of 7914, 6254 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 7914, 6254. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7914,6254

Given numbers are 7914,6254

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

The LCM of 7914,6254 is 24747078.

Find LCM of 7914,6254 with Prime Factorization


2 7914, 6254
3957, 3127

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

2 x 3957 x 3127 = 24747078

Therefore, the lowest common multiple of 7914,6254 is 24747078.

LCM Formula to Find Lowest Common Multiple of 7914,6254

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.

7914 x 6254 = 49494156

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.

7914 : 1, 2, 3, 6, 1319, 2638, 3957, 7914

6254 : 1, 2, 53, 59, 106, 118, 3127, 6254

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7914,6254, is 2.

Now, the common factors can be found like this.

7914:2x 3x 1319

6254:2x 53x 59

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 = 49494156/(2x1)

LCM = 49494156/2

LCM = 24747078

Thus, we can understand that the LCM of 7914,6254 is 24747078.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7914, 6254

1. What is the LCM of 7914, 6254?

Answer: LCM of 7914, 6254 is 24747078.

2. How to calculate the LCM of 7914, 6254?

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 7914, 6254.

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}.