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LCM of 3070, 2365

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


Find the LCM of 3070, 2365 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 3070, 2365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3070,2365

Given numbers are 3070,2365

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

The LCM of 3070,2365 is 1452110.

Find LCM of 3070,2365 with Prime Factorization


5 3070, 2365
614, 473

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

5 x 614 x 473 = 1452110

Therefore, the lowest common multiple of 3070,2365 is 1452110.

LCM Formula to Find Lowest Common Multiple of 3070,2365

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.

3070 x 2365 = 7260550

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.

3070 : 1, 2, 5, 10, 307, 614, 1535, 3070

2365 : 1, 5, 11, 43, 55, 215, 473, 2365

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3070,2365, is 5.

Now, the common factors can be found like this.

3070:2x 5x 307

2365:5x 11x 43

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 = 7260550/(5x1)

LCM = 7260550/5

LCM = 1452110

Thus, we can understand that the LCM of 3070,2365 is 1452110.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3070, 2365

1. What is the LCM of 3070, 2365?

Answer: LCM of 3070, 2365 is 1452110.

2. How to calculate the LCM of 3070, 2365?

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 3070, 2365.

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}.