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LCM of 662, 385, 312

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


Find the LCM of 662, 385, 312 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 662, 385, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,385,312

Given numbers are 662,385,312

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

The LCM of 662,385,312 is 39759720.

Find LCM of 662,385,312 with Prime Factorization


2 662, 385, 312
331, 385, 156

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

2 x 331 x 385 x 156 = 39759720

Therefore, the lowest common multiple of 662,385,312 is 39759720.

LCM Formula to Find Lowest Common Multiple of 662,385,312

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.

662 x 385 x 312 = 79519440

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.

662 : 1, 2, 331, 662

385 : 1, 5, 7, 11, 35, 55, 77, 385

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,385,312, is 1.

Now, the common factors can be found like this.

662:2x 331

385:5x 7x 11

312:2x 2x 2x 3x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 79519440/(1x2)

LCM = 79519440/2

LCM = 39759720

Thus, we can understand that the LCM of 662,385,312 is 39759720.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 662, 385, 312

1. What is the LCM of 662, 385, 312?

Answer: LCM of 662, 385, 312 is 39759720.

2. How to calculate the LCM of 662, 385, 312?

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 662, 385, 312.

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}.