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LCM of 4767, 5085

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


Find the LCM of 4767, 5085 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 4767, 5085. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4767,5085

Given numbers are 4767,5085

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

The LCM of 4767,5085 is 8080065.

Find LCM of 4767,5085 with Prime Factorization


3 4767, 5085
1589, 1695

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

3 x 1589 x 1695 = 8080065

Therefore, the lowest common multiple of 4767,5085 is 8080065.

LCM Formula to Find Lowest Common Multiple of 4767,5085

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.

4767 x 5085 = 24240195

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.

4767 : 1, 3, 7, 21, 227, 681, 1589, 4767

5085 : 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4767,5085, is 3.

Now, the common factors can be found like this.

4767:3x 7x 227

5085:3x 3x 5x 113

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 = 24240195/(3x1)

LCM = 24240195/3

LCM = 8080065

Thus, we can understand that the LCM of 4767,5085 is 8080065.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4767, 5085

1. What is the LCM of 4767, 5085?

Answer: LCM of 4767, 5085 is 8080065.

2. How to calculate the LCM of 4767, 5085?

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 4767, 5085.

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}.