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LCM of 549, 990, 461, 231, 387

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


Find the LCM of 549, 990, 461, 231, 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 549, 990, 461, 231, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,990,461,231,387

Given numbers are 549,990,461,231,387

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

The LCM of 549,990,461,231,387 is 8379776790.

Find LCM of 549,990,461,231,387 with Prime Factorization


3 549, 990, 461, 231, 387
3 183, 330, 461, 77, 129
11 61, 110, 461, 77, 43
61, 10, 461, 7, 43

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

3 x 3 x 11 x 61 x 10 x 461 x 7 x 43 = 8379776790

Therefore, the lowest common multiple of 549,990,461,231,387 is 8379776790.

LCM Formula to Find Lowest Common Multiple of 549,990,461,231,387

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.

549 x 990 x 461 x 231 x 387 = 22399143359670

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.

549 : 1, 3, 9, 61, 183, 549

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

461 : 1, 461

231 : 1, 3, 7, 11, 21, 33, 77, 231

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 549,990,461,231,387, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

990:2x 3x 3x 5x 11

461:461

231:3x 7x 11

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.

3x 3x 3x 3x 3x 11 = 2673

Therefore, the value for common factors is 2673.

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 = 22399143359670/(1x2673)

LCM = 22399143359670/2673

LCM = 8379776790

Thus, we can understand that the LCM of 549,990,461,231,387 is 8379776790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 549, 990, 461, 231, 387

1. What is the LCM of 549, 990, 461, 231, 387?

Answer: LCM of 549, 990, 461, 231, 387 is 8379776790.

2. How to calculate the LCM of 549, 990, 461, 231, 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 549, 990, 461, 231, 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}.