Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/910, 947/461, 277/190 quickly i.e. 21772477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/910, 947/461, 277/190 is 21772477.
LCM(83/910, 947/461, 277/190) = 21772477
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/910,947/461,277/190
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 83,947,277
Least Common Multiple of Numerators i.e. LCM of 83,947,277 is 21772477.
GCF of Denominators means GCF of 910,461,190 as per the given fractions.
GCF of 910,461,190 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,947,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 21772477
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 83,947,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,947,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,947,277) x common factors =1 x 1 = 1
LCM(83,947,277) = ( 83 × 947 × 277 ) / 1
LCM(83,947,277) = 21772477 / 1
LCM(83,947,277) = 21772477
Lets's calculate GCF of 910,461,190
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21772477/1
Therefore the LCM of Fractions 83/910,947/461,277/190 is 21772477
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 910,461,190 . The biggest common factor number is the GCF number.
So the greatest common factor 910,461,190 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 83/910, 947/461, 277/190?
Answer: LCM of Numerators as per given numbers 83/910, 947/461, 277/190 is
LCM of Numerators i.e. for 83,947,277 is 21772477
GCF of denominators i.e. for 910,461,190 is 1.
Thus, LCM of Fractions is 21772477.Finally, LCM of Fractions for 83/910, 947/461, 277/190 is 21772477.