Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 985/668, 1148/550 quickly i.e. 565390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 985/668, 1148/550 is 565390.
LCM(985/668, 1148/550) = 565390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 985/668,1148/550
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 985,1148
Least Common Multiple of Numerators i.e. LCM of 985,1148 is 1130780.
GCF of Denominators means GCF of 668,550 as per the given fractions.
GCF of 668,550 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 985,1148
Given numbers has no common factors except 1. So, there LCM is their product i.e 1130780
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 985,1148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,1148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,1148) x common factors =1 x 1 = 1
LCM(985,1148) = ( 985 × 1148 ) / 1
LCM(985,1148) = 1130780 / 1
LCM(985,1148) = 1130780
Lets's calculate GCF of 668,550
2 | 668, 550 |
334, 275 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1130780/2
Therefore the LCM of Fractions 985/668,1148/550 is 565390
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 668,550 . The biggest common factor number is the GCF number.
So the greatest common factor 668,550 is 2.
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 985/668, 1148/550?
Answer: LCM of Numerators as per given numbers 985/668, 1148/550 is
LCM of Numerators i.e. for 985,1148 is 1130780
GCF of denominators i.e. for 668,550 is 2.
Thus, LCM of Fractions is 565390.Finally, LCM of Fractions for 985/668, 1148/550 is 565390.