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LCM of 1378, 2470

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


Find the LCM of 1378, 2470 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 1378, 2470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1378,2470

Given numbers are 1378,2470

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

The LCM of 1378,2470 is 130910.

Find LCM of 1378,2470 with Prime Factorization


2 1378, 2470
13 689, 1235
53, 95

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

2 x 13 x 53 x 95 = 130910

Therefore, the lowest common multiple of 1378,2470 is 130910.

LCM Formula to Find Lowest Common Multiple of 1378,2470

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.

1378 x 2470 = 3403660

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.

1378 : 1, 2, 13, 26, 53, 106, 689, 1378

2470 : 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470

26 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1378,2470, is 26.

Now, the common factors can be found like this.

1378:2x 13x 53

2470:2x 5x 13x 19

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 = 3403660/(26x1)

LCM = 3403660/26

LCM = 130910

Thus, we can understand that the LCM of 1378,2470 is 130910.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1378, 2470

1. What is the LCM of 1378, 2470?

Answer: LCM of 1378, 2470 is 130910.

2. How to calculate the LCM of 1378, 2470?

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 1378, 2470.

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}.