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LCM of 978, 851, 243, 493, 551

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


Find the LCM of 978, 851, 243, 493, 551 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, 851, 243, 493, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,851,243,493,551

Given numbers are 978,851,243,493,551

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

The LCM of 978,851,243,493,551 is 631471790106.

Find LCM of 978,851,243,493,551 with Prime Factorization


3 978, 851, 243, 493, 551
29 326, 851, 81, 493, 551
326, 851, 81, 17, 19

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

3 x 29 x 326 x 851 x 81 x 17 x 19 = 631471790106

Therefore, the lowest common multiple of 978,851,243,493,551 is 631471790106.

LCM Formula to Find Lowest Common Multiple of 978,851,243,493,551

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 851 x 243 x 493 x 551 = 54938045739222

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

851 : 1, 23, 37, 851

243 : 1, 3, 9, 27, 81, 243

493 : 1, 17, 29, 493

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,851,243,493,551, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

851:23x 37

243:3x 3x 3x 3x 3

493:17x 29

551:19x 29

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

3x 29 = 87

Therefore, the value for common factors is 87.

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 = 54938045739222/(1x87)

LCM = 54938045739222/87

LCM = 631471790106

Thus, we can understand that the LCM of 978,851,243,493,551 is 631471790106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 851, 243, 493, 551

1. What is the LCM of 978, 851, 243, 493, 551?

Answer: LCM of 978, 851, 243, 493, 551 is 631471790106.

2. How to calculate the LCM of 978, 851, 243, 493, 551?

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, 851, 243, 493, 551.

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}.