Least Common Multiple of 121/281, 241/874, 983/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 121/281, 241/874, 983/777 quickly i.e. 28665263 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 121/281, 241/874, 983/777 is 28665263.

LCM(121/281, 241/874, 983/777) = 28665263

LCM of 121/281, 241/874, 983/777

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 121/281,241/874,983/777

Given numbers are 121/281,241/874,983/777

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 121,241,983

Least Common Multiple of Numerators i.e. LCM of 121,241,983 is 28665263.

GCF of Denominators means GCF of 281,874,777 as per the given fractions.

GCF of 281,874,777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 121,241,983

LCM of Fractions 121/281,241/874,983/777 is 28665263

Given numbers has no common factors except 1. So, there LCM is their product i.e 28665263

Least Common Multiple of 121,241,983 with GCF Formula

Least Common Multiple of 121,241,983 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 121,241,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,241,983) = 1

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

GCF(121,241,983) x common factors =1 x 1 = 1

LCM(121,241,983) = ( 121 × 241 × 983 ) / 1

LCM(121,241,983) = 28665263 / 1

LCM(121,241,983) = 28665263


Lets's calculate GCF of 281,874,777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28665263/1

Therefore the LCM of Fractions 121/281,241/874,983/777 is 28665263

Greatest Common Factor of 281,874,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,874,777 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 281,874,777 . The biggest common factor number is the GCF number.
So the greatest common factor 281,874,777 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 121/281, 241/874, 983/777

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 121/281, 241/874, 983/777?

Answer: LCM of Numerators as per given numbers 121/281, 241/874, 983/777 is

LCM of Numerators i.e. for 121,241,983 is 28665263

GCF of denominators i.e. for 281,874,777 is 1.

Thus, LCM of Fractions is 28665263.Finally, LCM of Fractions for 121/281, 241/874, 983/777 is 28665263.