Least Common Multiple of 275/50, 772/46, 269/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/50, 772/46, 269/18 quickly i.e. 28554350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/50, 772/46, 269/18 is 28554350.

LCM(275/50, 772/46, 269/18) = 28554350

LCM of 275/50, 772/46, 269/18

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 275/50,772/46,269/18

Given numbers are 275/50,772/46,269/18

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 275,772,269

Least Common Multiple of Numerators i.e. LCM of 275,772,269 is 57108700.

GCF of Denominators means GCF of 50,46,18 as per the given fractions.

GCF of 50,46,18 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,772,269

LCM of Fractions 275/50,772/46,269/18 is 28554350

Given numbers has no common factors except 1. So, there LCM is their product i.e 57108700

Least Common Multiple of 275,772,269 with GCF Formula

Least Common Multiple of 275,772,269 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 275,772,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,772,269) = 1

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

GCF(275,772,269) x common factors =1 x 1 = 1

LCM(275,772,269) = ( 275 × 772 × 269 ) / 1

LCM(275,772,269) = 57108700 / 1

LCM(275,772,269) = 57108700


Lets's calculate GCF of 50,46,18

2 50, 46, 18
25, 23, 9

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57108700/2

Therefore the LCM of Fractions 275/50,772/46,269/18 is 28554350

Greatest Common Factor of 50,46,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,46,18 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 50,46,18 . The biggest common factor number is the GCF number.
So the greatest common factor 50,46,18 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 275/50, 772/46, 269/18

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 275/50, 772/46, 269/18?

Answer: LCM of Numerators as per given numbers 275/50, 772/46, 269/18 is

LCM of Numerators i.e. for 275,772,269 is 57108700

GCF of denominators i.e. for 50,46,18 is 2.

Thus, LCM of Fractions is 28554350.Finally, LCM of Fractions for 275/50, 772/46, 269/18 is 28554350.