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LCM of 660, 198, 306, 978

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


Find the LCM of 660, 198, 306, 978 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 660, 198, 306, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 660,198,306,978

Given numbers are 660,198,306,978

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

The LCM of 660,198,306,978 is 5486580.

Find LCM of 660,198,306,978 with Prime Factorization


2 660, 198, 306, 978
3 330, 99, 153, 489
3 110, 33, 51, 163
11 110, 11, 17, 163
10, 1, 17, 163

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

2 x 3 x 3 x 11 x 10 x 1 x 17 x 163 = 5486580

Therefore, the lowest common multiple of 660,198,306,978 is 5486580.

LCM Formula to Find Lowest Common Multiple of 660,198,306,978

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.

660 x 198 x 306 x 978 = 39108342240

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

978 : 1, 2, 3, 6, 163, 326, 489, 978

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,198,306,978, is 6.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

198:2x 3x 3x 11

306:2x 3x 3x 17

978:2x 3x 163

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 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 39108342240/(6x1188)

LCM = 39108342240/7128

LCM = 5486580

Thus, we can understand that the LCM of 660,198,306,978 is 5486580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 660, 198, 306, 978

1. What is the LCM of 660, 198, 306, 978?

Answer: LCM of 660, 198, 306, 978 is 5486580.

2. How to calculate the LCM of 660, 198, 306, 978?

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 660, 198, 306, 978.

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}.