Least Common Multiple of 838/394, 6910/7926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 838/394, 6910/7926 quickly i.e. 1447645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/394, 6910/7926 is 1447645.

LCM(838/394, 6910/7926) = 1447645

LCM of 838/394, 6910/7926

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 838/394,6910/7926

Given numbers are 838/394,6910/7926

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 838,6910

Least Common Multiple of Numerators i.e. LCM of 838,6910 is 2895290.

GCF of Denominators means GCF of 394,7926 as per the given fractions.

GCF of 394,7926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,6910

LCM of Fractions 838/394,6910/7926 is 1447645

2 838, 6910
419, 3455

∴ So the LCM of the given numbers is 2 x 419 x 3455 = 2895290

Least Common Multiple of 838,6910 with GCF Formula

Least Common Multiple of 838,6910 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 838,6910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,6910) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(838,6910) x common factors =2 x 1 = 2

LCM(838,6910) = ( 838 × 6910 ) / 2

LCM(838,6910) = 5790580 / 2

LCM(838,6910) = 2895290


Lets's calculate GCF of 394,7926

2 394, 7926
197, 3963

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2895290/2

Therefore the LCM of Fractions 838/394,6910/7926 is 1447645

Greatest Common Factor of 394,7926 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,7926 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 7926

List of positive integer factors of 7926 that divides 7926 without a remainder.

1,2,3,6,1321,2642,3963,7926

Greatest Common Factor

We found the factors 394,7926 . The biggest common factor number is the GCF number.
So the greatest common factor 394,7926 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 838/394, 6910/7926

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 838/394, 6910/7926?

Answer: LCM of Numerators as per given numbers 838/394, 6910/7926 is

LCM of Numerators i.e. for 838,6910 is 2895290

GCF of denominators i.e. for 394,7926 is 2.

Thus, LCM of Fractions is 1447645.Finally, LCM of Fractions for 838/394, 6910/7926 is 1447645.