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LCM of 838, 851, 551, 788

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


Find the LCM of 838, 851, 551, 788 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 838, 851, 551, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,851,551,788

Given numbers are 838,851,551,788

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

The LCM of 838,851,551,788 is 154817980972.

Find LCM of 838,851,551,788 with Prime Factorization


2 838, 851, 551, 788
419, 851, 551, 394

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

2 x 419 x 851 x 551 x 394 = 154817980972

Therefore, the lowest common multiple of 838,851,551,788 is 154817980972.

LCM Formula to Find Lowest Common Multiple of 838,851,551,788

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.

838 x 851 x 551 x 788 = 309635961944

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.

838 : 1, 2, 419, 838

851 : 1, 23, 37, 851

551 : 1, 19, 29, 551

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,851,551,788, is 1.

Now, the common factors can be found like this.

838:2x 419

851:23x 37

551:19x 29

788:2x 2x 197

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

2 = 2

Therefore, the value for common factors is 2.

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 = 309635961944/(1x2)

LCM = 309635961944/2

LCM = 154817980972

Thus, we can understand that the LCM of 838,851,551,788 is 154817980972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 851, 551, 788

1. What is the LCM of 838, 851, 551, 788?

Answer: LCM of 838, 851, 551, 788 is 154817980972.

2. How to calculate the LCM of 838, 851, 551, 788?

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 838, 851, 551, 788.

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}.