Least Common Multiple of 296/269, 6248/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 296/269, 6248/277 quickly i.e. 231176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 296/269, 6248/277 is 231176.

LCM(296/269, 6248/277) = 231176

LCM of 296/269, 6248/277

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 296/269,6248/277

Given numbers are 296/269,6248/277

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 296,6248

Least Common Multiple of Numerators i.e. LCM of 296,6248 is 231176.

GCF of Denominators means GCF of 269,277 as per the given fractions.

GCF of 269,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 296,6248

LCM of Fractions 296/269,6248/277 is 231176

2 296, 6248
2 148, 3124
2 74, 1562
37, 781

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 781 = 231176

Least Common Multiple of 296,6248 with GCF Formula

Least Common Multiple of 296,6248 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 296,6248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,6248) = 8

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

GCF(296,6248) x common factors =8 x 1 = 8

LCM(296,6248) = ( 296 × 6248 ) / 8

LCM(296,6248) = 1849408 / 8

LCM(296,6248) = 231176


Lets's calculate GCF of 269,277

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231176/1

Therefore the LCM of Fractions 296/269,6248/277 is 231176

Greatest Common Factor of 269,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,277 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 269,277 . The biggest common factor number is the GCF number.
So the greatest common factor 269,277 is 1.


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 296/269, 6248/277

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 296/269, 6248/277?

Answer: LCM of Numerators as per given numbers 296/269, 6248/277 is

LCM of Numerators i.e. for 296,6248 is 231176

GCF of denominators i.e. for 269,277 is 1.

Thus, LCM of Fractions is 231176.Finally, LCM of Fractions for 296/269, 6248/277 is 231176.