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LCM of 820, 164, 387

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


Find the LCM of 820, 164, 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 820, 164, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,164,387

Given numbers are 820,164,387

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

The LCM of 820,164,387 is 317340.

Find LCM of 820,164,387 with Prime Factorization


2 820, 164, 387
2 410, 82, 387
41 205, 41, 387
5, 1, 387

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

2 x 2 x 41 x 5 x 1 x 387 = 317340

Therefore, the lowest common multiple of 820,164,387 is 317340.

LCM Formula to Find Lowest Common Multiple of 820,164,387

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.

820 x 164 x 387 = 52043760

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

164 : 1, 2, 4, 41, 82, 164

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 820,164,387, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

164:2x 2x 41

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 41 = 164

Therefore, the value for common factors is 164.

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 = 52043760/(1x164)

LCM = 52043760/164

LCM = 317340

Thus, we can understand that the LCM of 820,164,387 is 317340.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 820, 164, 387

1. What is the LCM of 820, 164, 387?

Answer: LCM of 820, 164, 387 is 317340.

2. How to calculate the LCM of 820, 164, 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 820, 164, 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}.