Least Common Multiple of 25/14, 227/33, 969/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/14, 227/33, 969/292 quickly i.e. 5499075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/14, 227/33, 969/292 is 5499075.

LCM(25/14, 227/33, 969/292) = 5499075

LCM of 25/14, 227/33, 969/292

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 25/14,227/33,969/292

Given numbers are 25/14,227/33,969/292

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 25,227,969

Least Common Multiple of Numerators i.e. LCM of 25,227,969 is 5499075.

GCF of Denominators means GCF of 14,33,292 as per the given fractions.

GCF of 14,33,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,227,969

LCM of Fractions 25/14,227/33,969/292 is 5499075

Given numbers has no common factors except 1. So, there LCM is their product i.e 5499075

Least Common Multiple of 25,227,969 with GCF Formula

Least Common Multiple of 25,227,969 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 25,227,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,227,969) = 1

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

GCF(25,227,969) x common factors =1 x 1 = 1

LCM(25,227,969) = ( 25 × 227 × 969 ) / 1

LCM(25,227,969) = 5499075 / 1

LCM(25,227,969) = 5499075


Lets's calculate GCF of 14,33,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5499075/1

Therefore the LCM of Fractions 25/14,227/33,969/292 is 5499075

Greatest Common Factor of 14,33,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,33,292 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 14,33,292 . The biggest common factor number is the GCF number.
So the greatest common factor 14,33,292 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 25/14, 227/33, 969/292

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 25/14, 227/33, 969/292?

Answer: LCM of Numerators as per given numbers 25/14, 227/33, 969/292 is

LCM of Numerators i.e. for 25,227,969 is 5499075

GCF of denominators i.e. for 14,33,292 is 1.

Thus, LCM of Fractions is 5499075.Finally, LCM of Fractions for 25/14, 227/33, 969/292 is 5499075.