Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 874/825, 347/965, 590/560 quickly i.e. 17893402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 874/825, 347/965, 590/560 is 17893402.
LCM(874/825, 347/965, 590/560) = 17893402
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 874/825,347/965,590/560
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 874,347,590
Least Common Multiple of Numerators i.e. LCM of 874,347,590 is 89467010.
GCF of Denominators means GCF of 825,965,560 as per the given fractions.
GCF of 825,965,560 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 874,347,590
2 | 874, 347, 590 |
437, 347, 295 |
∴ So the LCM of the given numbers is 2 x 437 x 347 x 295 = 89467010
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 874,347,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,347,590) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(874,347,590) x common factors =1 x 2 = 2
LCM(874,347,590) = ( 874 × 347 × 590 ) / 2
LCM(874,347,590) = 178934020 / 2
LCM(874,347,590) = 89467010
Lets's calculate GCF of 825,965,560
5 | 825, 965, 560 |
165, 193, 112 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89467010/5
Therefore the LCM of Fractions 874/825,347/965,590/560 is 17893402
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 825,965,560 . The biggest common factor number is the GCF number.
So the greatest common factor 825,965,560 is 5.
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 874/825, 347/965, 590/560?
Answer: LCM of Numerators as per given numbers 874/825, 347/965, 590/560 is
LCM of Numerators i.e. for 874,347,590 is 89467010
GCF of denominators i.e. for 825,965,560 is 5.
Thus, LCM of Fractions is 17893402.Finally, LCM of Fractions for 874/825, 347/965, 590/560 is 17893402.