Least Common Multiple of 285/75, 277/1511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/75, 277/1511 quickly i.e. 78945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/75, 277/1511 is 78945.

LCM(285/75, 277/1511) = 78945

LCM of 285/75, 277/1511

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 285/75,277/1511

Given numbers are 285/75,277/1511

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 285,277

Least Common Multiple of Numerators i.e. LCM of 285,277 is 78945.

GCF of Denominators means GCF of 75,1511 as per the given fractions.

GCF of 75,1511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,277

LCM of Fractions 285/75,277/1511 is 78945

Given numbers has no common factors except 1. So, there LCM is their product i.e 78945

Least Common Multiple of 285,277 with GCF Formula

Least Common Multiple of 285,277 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 285,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,277) = 1

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

GCF(285,277) x common factors =1 x 1 = 1

LCM(285,277) = ( 285 × 277 ) / 1

LCM(285,277) = 78945 / 1

LCM(285,277) = 78945


Lets's calculate GCF of 75,1511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78945/1

Therefore the LCM of Fractions 285/75,277/1511 is 78945

Greatest Common Factor of 75,1511 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,1511 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 1511

List of positive integer factors of 1511 that divides 1511 without a remainder.

1,1511

Greatest Common Factor

We found the factors 75,1511 . The biggest common factor number is the GCF number.
So the greatest common factor 75,1511 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 285/75, 277/1511

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 285/75, 277/1511?

Answer: LCM of Numerators as per given numbers 285/75, 277/1511 is

LCM of Numerators i.e. for 285,277 is 78945

GCF of denominators i.e. for 75,1511 is 1.

Thus, LCM of Fractions is 78945.Finally, LCM of Fractions for 285/75, 277/1511 is 78945.