Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 957/649, 743/540, 805/850 quickly i.e. 572396055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 957/649, 743/540, 805/850 is 572396055.
LCM(957/649, 743/540, 805/850) = 572396055
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 957/649,743/540,805/850
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 957,743,805
Least Common Multiple of Numerators i.e. LCM of 957,743,805 is 572396055.
GCF of Denominators means GCF of 649,540,850 as per the given fractions.
GCF of 649,540,850 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 957,743,805
Given numbers has no common factors except 1. So, there LCM is their product i.e 572396055
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 957,743,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,743,805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(957,743,805) x common factors =1 x 1 = 1
LCM(957,743,805) = ( 957 × 743 × 805 ) / 1
LCM(957,743,805) = 572396055 / 1
LCM(957,743,805) = 572396055
Lets's calculate GCF of 649,540,850
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572396055/1
Therefore the LCM of Fractions 957/649,743/540,805/850 is 572396055
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 649,540,850 . The biggest common factor number is the GCF number.
So the greatest common factor 649,540,850 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 957/649, 743/540, 805/850?
Answer: LCM of Numerators as per given numbers 957/649, 743/540, 805/850 is
LCM of Numerators i.e. for 957,743,805 is 572396055
GCF of denominators i.e. for 649,540,850 is 1.
Thus, LCM of Fractions is 572396055.Finally, LCM of Fractions for 957/649, 743/540, 805/850 is 572396055.