Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/861, 94/622, 991/708 quickly i.e. 1956234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/861, 94/622, 991/708 is 1956234.
LCM(21/861, 94/622, 991/708) = 1956234
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/861,94/622,991/708
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 21,94,991
Least Common Multiple of Numerators i.e. LCM of 21,94,991 is 1956234.
GCF of Denominators means GCF of 861,622,708 as per the given fractions.
GCF of 861,622,708 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,94,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 1956234
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 21,94,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,94,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,94,991) x common factors =1 x 1 = 1
LCM(21,94,991) = ( 21 × 94 × 991 ) / 1
LCM(21,94,991) = 1956234 / 1
LCM(21,94,991) = 1956234
Lets's calculate GCF of 861,622,708
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1956234/1
Therefore the LCM of Fractions 21/861,94/622,991/708 is 1956234
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 861,622,708 . The biggest common factor number is the GCF number.
So the greatest common factor 861,622,708 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 21/861, 94/622, 991/708?
Answer: LCM of Numerators as per given numbers 21/861, 94/622, 991/708 is
LCM of Numerators i.e. for 21,94,991 is 1956234
GCF of denominators i.e. for 861,622,708 is 1.
Thus, LCM of Fractions is 1956234.Finally, LCM of Fractions for 21/861, 94/622, 991/708 is 1956234.