Least Common Multiple of 241/54, 705/2827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 241/54, 705/2827 quickly i.e. 169905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/54, 705/2827 is 169905.

LCM(241/54, 705/2827) = 169905

LCM of 241/54, 705/2827

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 241/54,705/2827

Given numbers are 241/54,705/2827

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 241,705

Least Common Multiple of Numerators i.e. LCM of 241,705 is 169905.

GCF of Denominators means GCF of 54,2827 as per the given fractions.

GCF of 54,2827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,705

LCM of Fractions 241/54,705/2827 is 169905

Given numbers has no common factors except 1. So, there LCM is their product i.e 169905

Least Common Multiple of 241,705 with GCF Formula

Least Common Multiple of 241,705 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 241,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,705) = 1

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

GCF(241,705) x common factors =1 x 1 = 1

LCM(241,705) = ( 241 × 705 ) / 1

LCM(241,705) = 169905 / 1

LCM(241,705) = 169905


Lets's calculate GCF of 54,2827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169905/1

Therefore the LCM of Fractions 241/54,705/2827 is 169905

Greatest Common Factor of 54,2827 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,2827 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 2827

List of positive integer factors of 2827 that divides 2827 without a remainder.

1,11,257,2827

Greatest Common Factor

We found the factors 54,2827 . The biggest common factor number is the GCF number.
So the greatest common factor 54,2827 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 241/54, 705/2827

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 241/54, 705/2827?

Answer: LCM of Numerators as per given numbers 241/54, 705/2827 is

LCM of Numerators i.e. for 241,705 is 169905

GCF of denominators i.e. for 54,2827 is 1.

Thus, LCM of Fractions is 169905.Finally, LCM of Fractions for 241/54, 705/2827 is 169905.