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LCM of 839, 670, 165, 649, 788

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


Find the LCM of 839, 670, 165, 649, 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 839, 670, 165, 649, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 839,670,165,649,788

Given numbers are 839,670,165,649,788

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

The LCM of 839,670,165,649,788 is 431220041340.

Find LCM of 839,670,165,649,788 with Prime Factorization


2 839, 670, 165, 649, 788
5 839, 335, 165, 649, 394
11 839, 67, 33, 649, 394
839, 67, 3, 59, 394

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

2 x 5 x 11 x 839 x 67 x 3 x 59 x 394 = 431220041340

Therefore, the lowest common multiple of 839,670,165,649,788 is 431220041340.

LCM Formula to Find Lowest Common Multiple of 839,670,165,649,788

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.

839 x 670 x 165 x 649 x 788 = 47434204547400

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.

839 : 1, 839

670 : 1, 2, 5, 10, 67, 134, 335, 670

165 : 1, 3, 5, 11, 15, 33, 55, 165

649 : 1, 11, 59, 649

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 839,670,165,649,788, is 1.

Now, the common factors can be found like this.

839:839

670:2x 5x 67

165:3x 5x 11

649:11x 59

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.

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 47434204547400/(1x110)

LCM = 47434204547400/110

LCM = 431220041340

Thus, we can understand that the LCM of 839,670,165,649,788 is 431220041340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 839, 670, 165, 649, 788

1. What is the LCM of 839, 670, 165, 649, 788?

Answer: LCM of 839, 670, 165, 649, 788 is 431220041340.

2. How to calculate the LCM of 839, 670, 165, 649, 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 839, 670, 165, 649, 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}.