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LCM of 276, 747, 312

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


Find the LCM of 276, 747, 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 276, 747, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,747,312

Given numbers are 276,747,312

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

The LCM of 276,747,312 is 1786824.

Find LCM of 276,747,312 with Prime Factorization


2 276, 747, 312
2 138, 747, 156
3 69, 747, 78
23, 249, 26

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

2 x 2 x 3 x 23 x 249 x 26 = 1786824

Therefore, the lowest common multiple of 276,747,312 is 1786824.

LCM Formula to Find Lowest Common Multiple of 276,747,312

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.

276 x 747 x 312 = 64325664

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

747 : 1, 3, 9, 83, 249, 747

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,747,312, is 3.

Now, the common factors can be found like this.

276:2x 2x 3x 23

747:3x 3x 83

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.

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 64325664/(3x12)

LCM = 64325664/36

LCM = 1786824

Thus, we can understand that the LCM of 276,747,312 is 1786824.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 276, 747, 312

1. What is the LCM of 276, 747, 312?

Answer: LCM of 276, 747, 312 is 1786824.

2. How to calculate the LCM of 276, 747, 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 276, 747, 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}.