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LCM of 2378, 7376

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


Find the LCM of 2378, 7376 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 2378, 7376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2378,7376

Given numbers are 2378,7376

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

The LCM of 2378,7376 is 8770064.

Find LCM of 2378,7376 with Prime Factorization


2 2378, 7376
1189, 3688

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

2 x 1189 x 3688 = 8770064

Therefore, the lowest common multiple of 2378,7376 is 8770064.

LCM Formula to Find Lowest Common Multiple of 2378,7376

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.

2378 x 7376 = 17540128

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.

2378 : 1, 2, 29, 41, 58, 82, 1189, 2378

7376 : 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2378,7376, is 2.

Now, the common factors can be found like this.

2378:2x 29x 41

7376:2x 2x 2x 2x 461

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 = 17540128/(2x1)

LCM = 17540128/2

LCM = 8770064

Thus, we can understand that the LCM of 2378,7376 is 8770064.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2378, 7376

1. What is the LCM of 2378, 7376?

Answer: LCM of 2378, 7376 is 8770064.

2. How to calculate the LCM of 2378, 7376?

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 2378, 7376.

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}.