Least Common Multiple of 277/24, 784/7821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 277/24, 784/7821 quickly i.e. 217168/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/24, 784/7821 is 217168/3.

LCM(277/24, 784/7821) = 217168/3

LCM of 277/24, 784/7821

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 277/24,784/7821

Given numbers are 277/24,784/7821

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 277,784

Least Common Multiple of Numerators i.e. LCM of 277,784 is 217168.

GCF of Denominators means GCF of 24,7821 as per the given fractions.

GCF of 24,7821 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,784

LCM of Fractions 277/24,784/7821 is 217168/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 217168

Least Common Multiple of 277,784 with GCF Formula

Least Common Multiple of 277,784 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 277,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,784) = 1

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

GCF(277,784) x common factors =1 x 1 = 1

LCM(277,784) = ( 277 × 784 ) / 1

LCM(277,784) = 217168 / 1

LCM(277,784) = 217168


Lets's calculate GCF of 24,7821

3 24, 7821
8, 2607

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217168/3

Therefore the LCM of Fractions 277/24,784/7821 is 217168/3

Greatest Common Factor of 24,7821 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,7821 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors 24,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7821 is 3.


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 277/24, 784/7821

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 277/24, 784/7821?

Answer: LCM of Numerators as per given numbers 277/24, 784/7821 is

LCM of Numerators i.e. for 277,784 is 217168

GCF of denominators i.e. for 24,7821 is 3.

Thus, LCM of Fractions is 217168/3.Finally, LCM of Fractions for 277/24, 784/7821 is 217168/3.