Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/106, 17/461, 373/940 quickly i.e. 551667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/106, 17/461, 373/940 is 551667.
LCM(87/106, 17/461, 373/940) = 551667
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/106,17/461,373/940
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 87,17,373
Least Common Multiple of Numerators i.e. LCM of 87,17,373 is 551667.
GCF of Denominators means GCF of 106,461,940 as per the given fractions.
GCF of 106,461,940 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,17,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 551667
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 87,17,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,17,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,17,373) x common factors =1 x 1 = 1
LCM(87,17,373) = ( 87 × 17 × 373 ) / 1
LCM(87,17,373) = 551667 / 1
LCM(87,17,373) = 551667
Lets's calculate GCF of 106,461,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 551667/1
Therefore the LCM of Fractions 87/106,17/461,373/940 is 551667
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 106,461,940 . The biggest common factor number is the GCF number.
So the greatest common factor 106,461,940 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 87/106, 17/461, 373/940?
Answer: LCM of Numerators as per given numbers 87/106, 17/461, 373/940 is
LCM of Numerators i.e. for 87,17,373 is 551667
GCF of denominators i.e. for 106,461,940 is 1.
Thus, LCM of Fractions is 551667.Finally, LCM of Fractions for 87/106, 17/461, 373/940 is 551667.