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LCM of 838, 156, 793, 661

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


Find the LCM of 838, 156, 793, 661 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, 156, 793, 661. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,156,793,661

Given numbers are 838,156,793,661

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

The LCM of 838,156,793,661 is 2635541844.

Find LCM of 838,156,793,661 with Prime Factorization


2 838, 156, 793, 661
13 419, 78, 793, 661
419, 6, 61, 661

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

2 x 13 x 419 x 6 x 61 x 661 = 2635541844

Therefore, the lowest common multiple of 838,156,793,661 is 2635541844.

LCM Formula to Find Lowest Common Multiple of 838,156,793,661

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 156 x 793 x 661 = 68524087944

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

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

793 : 1, 13, 61, 793

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,156,793,661, is 1.

Now, the common factors can be found like this.

838:2x 419

156:2x 2x 3x 13

793:13x 61

661:661

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 68524087944/(1x26)

LCM = 68524087944/26

LCM = 2635541844

Thus, we can understand that the LCM of 838,156,793,661 is 2635541844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 156, 793, 661

1. What is the LCM of 838, 156, 793, 661?

Answer: LCM of 838, 156, 793, 661 is 2635541844.

2. How to calculate the LCM of 838, 156, 793, 661?

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, 156, 793, 661.

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}.