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LCM of 838, 794, 305, 210, 939

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


Find the LCM of 838, 794, 305, 210, 939 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, 794, 305, 210, 939. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,794,305,210,939

Given numbers are 838,794,305,210,939

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

The LCM of 838,794,305,210,939 is 666957248790.

Find LCM of 838,794,305,210,939 with Prime Factorization


2 838, 794, 305, 210, 939
3 419, 397, 305, 105, 939
5 419, 397, 305, 35, 313
419, 397, 61, 7, 313

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

2 x 3 x 5 x 419 x 397 x 61 x 7 x 313 = 666957248790

Therefore, the lowest common multiple of 838,794,305,210,939 is 666957248790.

LCM Formula to Find Lowest Common Multiple of 838,794,305,210,939

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 794 x 305 x 210 x 939 = 40017434927400

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

794 : 1, 2, 397, 794

305 : 1, 5, 61, 305

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,794,305,210,939, is 1.

Now, the common factors can be found like this.

838:2x 419

794:2x 397

305:5x 61

210:2x 3x 5x 7

939:3x 313

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 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 40017434927400/(1x60)

LCM = 40017434927400/60

LCM = 666957248790

Thus, we can understand that the LCM of 838,794,305,210,939 is 666957248790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 794, 305, 210, 939

1. What is the LCM of 838, 794, 305, 210, 939?

Answer: LCM of 838, 794, 305, 210, 939 is 666957248790.

2. How to calculate the LCM of 838, 794, 305, 210, 939?

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, 794, 305, 210, 939.

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}.