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LCM of 4461, 4785

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


Find the LCM of 4461, 4785 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 4461, 4785. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4461,4785

Given numbers are 4461,4785

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

The LCM of 4461,4785 is 7115295.

Find LCM of 4461,4785 with Prime Factorization


3 4461, 4785
1487, 1595

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

3 x 1487 x 1595 = 7115295

Therefore, the lowest common multiple of 4461,4785 is 7115295.

LCM Formula to Find Lowest Common Multiple of 4461,4785

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.

4461 x 4785 = 21345885

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.

4461 : 1, 3, 1487, 4461

4785 : 1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4461,4785, is 3.

Now, the common factors can be found like this.

4461:3x 1487

4785:3x 5x 11x 29

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 = 21345885/(3x1)

LCM = 21345885/3

LCM = 7115295

Thus, we can understand that the LCM of 4461,4785 is 7115295.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4461, 4785

1. What is the LCM of 4461, 4785?

Answer: LCM of 4461, 4785 is 7115295.

2. How to calculate the LCM of 4461, 4785?

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 4461, 4785.

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}.