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LCM of 3020, 7835

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


Find the LCM of 3020, 7835 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 3020, 7835. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3020,7835

Given numbers are 3020,7835

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

The LCM of 3020,7835 is 4732340.

Find LCM of 3020,7835 with Prime Factorization


5 3020, 7835
604, 1567

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

5 x 604 x 1567 = 4732340

Therefore, the lowest common multiple of 3020,7835 is 4732340.

LCM Formula to Find Lowest Common Multiple of 3020,7835

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.

3020 x 7835 = 23661700

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.

3020 : 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020

7835 : 1, 5, 1567, 7835

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3020,7835, is 5.

Now, the common factors can be found like this.

3020:2x 2x 5x 151

7835:5x 1567

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 = 23661700/(5x1)

LCM = 23661700/5

LCM = 4732340

Thus, we can understand that the LCM of 3020,7835 is 4732340.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3020, 7835

1. What is the LCM of 3020, 7835?

Answer: LCM of 3020, 7835 is 4732340.

2. How to calculate the LCM of 3020, 7835?

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 3020, 7835.

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}.