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LCM of 978, 452, 108, 831

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


Find the LCM of 978, 452, 108, 831 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, 452, 108, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,452,108,831

Given numbers are 978,452,108,831

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

The LCM of 978,452,108,831 is 551022804.

Find LCM of 978,452,108,831 with Prime Factorization


2 978, 452, 108, 831
2 489, 226, 54, 831
3 489, 113, 27, 831
163, 113, 9, 277

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

2 x 2 x 3 x 163 x 113 x 9 x 277 = 551022804

Therefore, the lowest common multiple of 978,452,108,831 is 551022804.

LCM Formula to Find Lowest Common Multiple of 978,452,108,831

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 452 x 108 x 831 = 39673641888

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

452 : 1, 2, 4, 113, 226, 452

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,452,108,831, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

452:2x 2x 113

108:2x 2x 3x 3x 3

831:3x 277

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 39673641888/(1x72)

LCM = 39673641888/72

LCM = 551022804

Thus, we can understand that the LCM of 978,452,108,831 is 551022804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 452, 108, 831

1. What is the LCM of 978, 452, 108, 831?

Answer: LCM of 978, 452, 108, 831 is 551022804.

2. How to calculate the LCM of 978, 452, 108, 831?

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, 452, 108, 831.

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}.