Least Common Multiple of 1112/777, 3511/9724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1112/777, 3511/9724 quickly i.e. 3904232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1112/777, 3511/9724 is 3904232.

LCM(1112/777, 3511/9724) = 3904232

LCM of 1112/777, 3511/9724

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 1112/777,3511/9724

Given numbers are 1112/777,3511/9724

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 1112,3511

Least Common Multiple of Numerators i.e. LCM of 1112,3511 is 3904232.

GCF of Denominators means GCF of 777,9724 as per the given fractions.

GCF of 777,9724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1112,3511

LCM of Fractions 1112/777,3511/9724 is 3904232

Given numbers has no common factors except 1. So, there LCM is their product i.e 3904232

Least Common Multiple of 1112,3511 with GCF Formula

Least Common Multiple of 1112,3511 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 1112,3511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1112,3511) = 1

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

GCF(1112,3511) x common factors =1 x 1 = 1

LCM(1112,3511) = ( 1112 × 3511 ) / 1

LCM(1112,3511) = 3904232 / 1

LCM(1112,3511) = 3904232


Lets's calculate GCF of 777,9724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3904232/1

Therefore the LCM of Fractions 1112/777,3511/9724 is 3904232

Greatest Common Factor of 777,9724 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,9724 By Matching Biggest Common Factor Method

Factors of 777

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

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

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724

Greatest Common Factor

We found the factors 777,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 777,9724 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 1112/777, 3511/9724

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 1112/777, 3511/9724?

Answer: LCM of Numerators as per given numbers 1112/777, 3511/9724 is

LCM of Numerators i.e. for 1112,3511 is 3904232

GCF of denominators i.e. for 777,9724 is 1.

Thus, LCM of Fractions is 3904232.Finally, LCM of Fractions for 1112/777, 3511/9724 is 3904232.