Least Common Multiple of 49/998, 7826/6188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/998, 7826/6188 quickly i.e. 27391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/998, 7826/6188 is 27391.

LCM(49/998, 7826/6188) = 27391

LCM of 49/998, 7826/6188

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 49/998,7826/6188

Given numbers are 49/998,7826/6188

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 49,7826

Least Common Multiple of Numerators i.e. LCM of 49,7826 is 54782.

GCF of Denominators means GCF of 998,6188 as per the given fractions.

GCF of 998,6188 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,7826

LCM of Fractions 49/998,7826/6188 is 27391

7 49, 7826
7, 1118

∴ So the LCM of the given numbers is 7 x 7 x 1118 = 54782

Least Common Multiple of 49,7826 with GCF Formula

Least Common Multiple of 49,7826 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 49,7826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,7826) = 7

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

GCF(49,7826) x common factors =7 x 1 = 7

LCM(49,7826) = ( 49 × 7826 ) / 7

LCM(49,7826) = 383474 / 7

LCM(49,7826) = 54782


Lets's calculate GCF of 998,6188

2 998, 6188
499, 3094

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54782/2

Therefore the LCM of Fractions 49/998,7826/6188 is 27391

Greatest Common Factor of 998,6188 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,6188 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 6188

List of positive integer factors of 6188 that divides 6188 without a remainder.

1,2,4,7,13,14,17,26,28,34,52,68,91,119,182,221,238,364,442,476,884,1547,3094,6188

Greatest Common Factor

We found the factors 998,6188 . The biggest common factor number is the GCF number.
So the greatest common factor 998,6188 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 49/998, 7826/6188

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 49/998, 7826/6188?

Answer: LCM of Numerators as per given numbers 49/998, 7826/6188 is

LCM of Numerators i.e. for 49,7826 is 54782

GCF of denominators i.e. for 998,6188 is 2.

Thus, LCM of Fractions is 27391.Finally, LCM of Fractions for 49/998, 7826/6188 is 27391.