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LCM of 485, 755, 612

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


Find the LCM of 485, 755, 612 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 485, 755, 612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 485,755,612

Given numbers are 485,755,612

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

The LCM of 485,755,612 is 44819820.

Find LCM of 485,755,612 with Prime Factorization


5 485, 755, 612
97, 151, 612

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

5 x 97 x 151 x 612 = 44819820

Therefore, the lowest common multiple of 485,755,612 is 44819820.

LCM Formula to Find Lowest Common Multiple of 485,755,612

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.

485 x 755 x 612 = 224099100

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.

485 : 1, 5, 97, 485

755 : 1, 5, 151, 755

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,755,612, is 1.

Now, the common factors can be found like this.

485:5x 97

755:5x 151

612:2x 2x 3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 224099100/(1x5)

LCM = 224099100/5

LCM = 44819820

Thus, we can understand that the LCM of 485,755,612 is 44819820.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 485, 755, 612

1. What is the LCM of 485, 755, 612?

Answer: LCM of 485, 755, 612 is 44819820.

2. How to calculate the LCM of 485, 755, 612?

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 485, 755, 612.

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}.