Least Common Multiple of 294/34, 275/8452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 294/34, 275/8452 quickly i.e. 40425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/34, 275/8452 is 40425.

LCM(294/34, 275/8452) = 40425

LCM of 294/34, 275/8452

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 294/34,275/8452

Given numbers are 294/34,275/8452

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 294,275

Least Common Multiple of Numerators i.e. LCM of 294,275 is 80850.

GCF of Denominators means GCF of 34,8452 as per the given fractions.

GCF of 34,8452 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,275

LCM of Fractions 294/34,275/8452 is 40425

Given numbers has no common factors except 1. So, there LCM is their product i.e 80850

Least Common Multiple of 294,275 with GCF Formula

Least Common Multiple of 294,275 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 294,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,275) = 1

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

GCF(294,275) x common factors =1 x 1 = 1

LCM(294,275) = ( 294 × 275 ) / 1

LCM(294,275) = 80850 / 1

LCM(294,275) = 80850


Lets's calculate GCF of 34,8452

2 34, 8452
17, 4226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80850/2

Therefore the LCM of Fractions 294/34,275/8452 is 40425

Greatest Common Factor of 34,8452 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,8452 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 8452

List of positive integer factors of 8452 that divides 8452 without a remainder.

1,2,4,2113,4226,8452

Greatest Common Factor

We found the factors 34,8452 . The biggest common factor number is the GCF number.
So the greatest common factor 34,8452 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 294/34, 275/8452

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 294/34, 275/8452?

Answer: LCM of Numerators as per given numbers 294/34, 275/8452 is

LCM of Numerators i.e. for 294,275 is 80850

GCF of denominators i.e. for 34,8452 is 2.

Thus, LCM of Fractions is 40425.Finally, LCM of Fractions for 294/34, 275/8452 is 40425.