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LCM of 978, 978, 327

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


Find the LCM of 978, 978, 327 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 978, 978, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,978,327

Given numbers are 978,978,327

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

The LCM of 978,978,327 is 106602.

Find LCM of 978,978,327 with Prime Factorization


2 978, 978, 327
3 489, 489, 327
163 163, 163, 109
1, 1, 109

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

2 x 3 x 163 x 1 x 1 x 109 = 106602

Therefore, the lowest common multiple of 978,978,327 is 106602.

LCM Formula to Find Lowest Common Multiple of 978,978,327

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.

978 x 978 x 327 = 312770268

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.

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

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

327 : 1, 3, 109, 327

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,978,327, is 3.

Now, the common factors can be found like this.

978:2x 3x 163

978:2x 3x 163

327:3x 109

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 163 = 978

Therefore, the value for common factors is 978.

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 = 312770268/(3x978)

LCM = 312770268/2934

LCM = 106602

Thus, we can understand that the LCM of 978,978,327 is 106602.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 978, 978, 327

1. What is the LCM of 978, 978, 327?

Answer: LCM of 978, 978, 327 is 106602.

2. How to calculate the LCM of 978, 978, 327?

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 978, 978, 327.

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}.