Least Common Multiple of 477/774, 1756/9789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/774, 1756/9789 quickly i.e. 279204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/774, 1756/9789 is 279204.

LCM(477/774, 1756/9789) = 279204

LCM of 477/774, 1756/9789

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 477/774,1756/9789

Given numbers are 477/774,1756/9789

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 477,1756

Least Common Multiple of Numerators i.e. LCM of 477,1756 is 837612.

GCF of Denominators means GCF of 774,9789 as per the given fractions.

GCF of 774,9789 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,1756

LCM of Fractions 477/774,1756/9789 is 279204

Given numbers has no common factors except 1. So, there LCM is their product i.e 837612

Least Common Multiple of 477,1756 with GCF Formula

Least Common Multiple of 477,1756 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 477,1756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,1756) = 1

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

GCF(477,1756) x common factors =1 x 1 = 1

LCM(477,1756) = ( 477 × 1756 ) / 1

LCM(477,1756) = 837612 / 1

LCM(477,1756) = 837612


Lets's calculate GCF of 774,9789

3 774, 9789
258, 3263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 837612/3

Therefore the LCM of Fractions 477/774,1756/9789 is 279204

Greatest Common Factor of 774,9789 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,9789 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 9789

List of positive integer factors of 9789 that divides 9789 without a remainder.

1,3,13,39,251,753,3263,9789

Greatest Common Factor

We found the factors 774,9789 . The biggest common factor number is the GCF number.
So the greatest common factor 774,9789 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 477/774, 1756/9789

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 477/774, 1756/9789?

Answer: LCM of Numerators as per given numbers 477/774, 1756/9789 is

LCM of Numerators i.e. for 477,1756 is 837612

GCF of denominators i.e. for 774,9789 is 3.

Thus, LCM of Fractions is 279204.Finally, LCM of Fractions for 477/774, 1756/9789 is 279204.