Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/995, 543/878, 944/698 quickly i.e. 36394032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/995, 543/878, 944/698 is 36394032.
LCM(71/995, 543/878, 944/698) = 36394032
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/995,543/878,944/698
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 71,543,944
Least Common Multiple of Numerators i.e. LCM of 71,543,944 is 36394032.
GCF of Denominators means GCF of 995,878,698 as per the given fractions.
GCF of 995,878,698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,543,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 36394032
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 71,543,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,543,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,543,944) x common factors =1 x 1 = 1
LCM(71,543,944) = ( 71 × 543 × 944 ) / 1
LCM(71,543,944) = 36394032 / 1
LCM(71,543,944) = 36394032
Lets's calculate GCF of 995,878,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36394032/1
Therefore the LCM of Fractions 71/995,543/878,944/698 is 36394032
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 995,878,698 . The biggest common factor number is the GCF number.
So the greatest common factor 995,878,698 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 71/995, 543/878, 944/698?
Answer: LCM of Numerators as per given numbers 71/995, 543/878, 944/698 is
LCM of Numerators i.e. for 71,543,944 is 36394032
GCF of denominators i.e. for 995,878,698 is 1.
Thus, LCM of Fractions is 36394032.Finally, LCM of Fractions for 71/995, 543/878, 944/698 is 36394032.