Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9358/917, 4343/2770 quickly i.e. 40641794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9358/917, 4343/2770 is 40641794.
LCM(9358/917, 4343/2770) = 40641794
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9358/917,4343/2770
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 9358,4343
Least Common Multiple of Numerators i.e. LCM of 9358,4343 is 40641794.
GCF of Denominators means GCF of 917,2770 as per the given fractions.
GCF of 917,2770 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9358,4343
Given numbers has no common factors except 1. So, there LCM is their product i.e 40641794
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 9358,4343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9358,4343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9358,4343) x common factors =1 x 1 = 1
LCM(9358,4343) = ( 9358 × 4343 ) / 1
LCM(9358,4343) = 40641794 / 1
LCM(9358,4343) = 40641794
Lets's calculate GCF of 917,2770
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40641794/1
Therefore the LCM of Fractions 9358/917,4343/2770 is 40641794
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 2770
List of positive integer factors of 2770 that divides 2770 without a remainder.
1,2,5,10,277,554,1385,2770
Greatest Common Factor
We found the factors 917,2770 . The biggest common factor number is the GCF number.
So the greatest common factor 917,2770 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 9358/917, 4343/2770?
Answer: LCM of Numerators as per given numbers 9358/917, 4343/2770 is
LCM of Numerators i.e. for 9358,4343 is 40641794
GCF of denominators i.e. for 917,2770 is 1.
Thus, LCM of Fractions is 40641794.Finally, LCM of Fractions for 9358/917, 4343/2770 is 40641794.