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LCM of 468, 260, 387

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


Find the LCM of 468, 260, 387 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 468, 260, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,260,387

Given numbers are 468,260,387

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

The LCM of 468,260,387 is 100620.

Find LCM of 468,260,387 with Prime Factorization


2 468, 260, 387
2 234, 130, 387
3 117, 65, 387
3 39, 65, 129
13 13, 65, 43
1, 5, 43

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

2 x 2 x 3 x 3 x 13 x 1 x 5 x 43 = 100620

Therefore, the lowest common multiple of 468,260,387 is 100620.

LCM Formula to Find Lowest Common Multiple of 468,260,387

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.

468 x 260 x 387 = 47090160

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,260,387, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

260:2x 2x 5x 13

387:3x 3x 43

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 47090160/(1x468)

LCM = 47090160/468

LCM = 100620

Thus, we can understand that the LCM of 468,260,387 is 100620.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 468, 260, 387

1. What is the LCM of 468, 260, 387?

Answer: LCM of 468, 260, 387 is 100620.

2. How to calculate the LCM of 468, 260, 387?

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 468, 260, 387.

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}.