Least Common Multiple of 36/385, 75/223, 269/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/385, 75/223, 269/458 quickly i.e. 242100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/385, 75/223, 269/458 is 242100.

LCM(36/385, 75/223, 269/458) = 242100

LCM of 36/385, 75/223, 269/458

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 36/385,75/223,269/458

Given numbers are 36/385,75/223,269/458

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 36,75,269

Least Common Multiple of Numerators i.e. LCM of 36,75,269 is 242100.

GCF of Denominators means GCF of 385,223,458 as per the given fractions.

GCF of 385,223,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,75,269

LCM of Fractions 36/385,75/223,269/458 is 242100

3 36, 75, 269
12, 25, 269

∴ So the LCM of the given numbers is 3 x 12 x 25 x 269 = 242100

Least Common Multiple of 36,75,269 with GCF Formula

Least Common Multiple of 36,75,269 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 36,75,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,75,269) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,75,269) x common factors =1 x 3 = 3

LCM(36,75,269) = ( 36 × 75 × 269 ) / 3

LCM(36,75,269) = 726300 / 3

LCM(36,75,269) = 242100


Lets's calculate GCF of 385,223,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242100/1

Therefore the LCM of Fractions 36/385,75/223,269/458 is 242100

Greatest Common Factor of 385,223,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,223,458 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 385,223,458 . The biggest common factor number is the GCF number.
So the greatest common factor 385,223,458 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 36/385, 75/223, 269/458

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 36/385, 75/223, 269/458?

Answer: LCM of Numerators as per given numbers 36/385, 75/223, 269/458 is

LCM of Numerators i.e. for 36,75,269 is 242100

GCF of denominators i.e. for 385,223,458 is 1.

Thus, LCM of Fractions is 242100.Finally, LCM of Fractions for 36/385, 75/223, 269/458 is 242100.