Least Common Multiple of 760/983, 4749/5706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/983, 4749/5706 quickly i.e. 3609240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/983, 4749/5706 is 3609240.

LCM(760/983, 4749/5706) = 3609240

LCM of 760/983, 4749/5706

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 760/983,4749/5706

Given numbers are 760/983,4749/5706

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 760,4749

Least Common Multiple of Numerators i.e. LCM of 760,4749 is 3609240.

GCF of Denominators means GCF of 983,5706 as per the given fractions.

GCF of 983,5706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,4749

LCM of Fractions 760/983,4749/5706 is 3609240

Given numbers has no common factors except 1. So, there LCM is their product i.e 3609240

Least Common Multiple of 760,4749 with GCF Formula

Least Common Multiple of 760,4749 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 760,4749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,4749) = 1

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

GCF(760,4749) x common factors =1 x 1 = 1

LCM(760,4749) = ( 760 × 4749 ) / 1

LCM(760,4749) = 3609240 / 1

LCM(760,4749) = 3609240


Lets's calculate GCF of 983,5706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3609240/1

Therefore the LCM of Fractions 760/983,4749/5706 is 3609240

Greatest Common Factor of 983,5706 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,5706 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 5706

List of positive integer factors of 5706 that divides 5706 without a remainder.

1,2,3,6,9,18,317,634,951,1902,2853,5706

Greatest Common Factor

We found the factors 983,5706 . The biggest common factor number is the GCF number.
So the greatest common factor 983,5706 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 760/983, 4749/5706

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 760/983, 4749/5706?

Answer: LCM of Numerators as per given numbers 760/983, 4749/5706 is

LCM of Numerators i.e. for 760,4749 is 3609240

GCF of denominators i.e. for 983,5706 is 1.

Thus, LCM of Fractions is 3609240.Finally, LCM of Fractions for 760/983, 4749/5706 is 3609240.