Least Common Multiple of 5497/614, 8923/2078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5497/614, 8923/2078 quickly i.e. 49049731/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5497/614, 8923/2078 is 49049731/2.

LCM(5497/614, 8923/2078) = 49049731/2

LCM of 5497/614, 8923/2078

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 5497/614,8923/2078

Given numbers are 5497/614,8923/2078

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 5497,8923

Least Common Multiple of Numerators i.e. LCM of 5497,8923 is 49049731.

GCF of Denominators means GCF of 614,2078 as per the given fractions.

GCF of 614,2078 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5497,8923

LCM of Fractions 5497/614,8923/2078 is 49049731/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 49049731

Least Common Multiple of 5497,8923 with GCF Formula

Least Common Multiple of 5497,8923 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 5497,8923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5497,8923) = 1

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

GCF(5497,8923) x common factors =1 x 1 = 1

LCM(5497,8923) = ( 5497 × 8923 ) / 1

LCM(5497,8923) = 49049731 / 1

LCM(5497,8923) = 49049731


Lets's calculate GCF of 614,2078

2 614, 2078
307, 1039

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49049731/2

Therefore the LCM of Fractions 5497/614,8923/2078 is 49049731/2

Greatest Common Factor of 614,2078 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,2078 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1,2,1039,2078

Greatest Common Factor

We found the factors 614,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 614,2078 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 5497/614, 8923/2078

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 5497/614, 8923/2078?

Answer: LCM of Numerators as per given numbers 5497/614, 8923/2078 is

LCM of Numerators i.e. for 5497,8923 is 49049731

GCF of denominators i.e. for 614,2078 is 2.

Thus, LCM of Fractions is 49049731/2.Finally, LCM of Fractions for 5497/614, 8923/2078 is 49049731/2.