Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 662/965, 748/140 quickly i.e. 247588/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 662/965, 748/140 is 247588/5.
LCM(662/965, 748/140) = 247588/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 662/965,748/140
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 662,748
Least Common Multiple of Numerators i.e. LCM of 662,748 is 247588.
GCF of Denominators means GCF of 965,140 as per the given fractions.
GCF of 965,140 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 662,748
2 | 662, 748 |
331, 374 |
∴ So the LCM of the given numbers is 2 x 331 x 374 = 247588
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 662,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,748) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,748) x common factors =2 x 1 = 2
LCM(662,748) = ( 662 × 748 ) / 2
LCM(662,748) = 495176 / 2
LCM(662,748) = 247588
Lets's calculate GCF of 965,140
5 | 965, 140 |
193, 28 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247588/5
Therefore the LCM of Fractions 662/965,748/140 is 247588/5
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 965,140 . The biggest common factor number is the GCF number.
So the greatest common factor 965,140 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 662/965, 748/140?
Answer: LCM of Numerators as per given numbers 662/965, 748/140 is
LCM of Numerators i.e. for 662,748 is 247588
GCF of denominators i.e. for 965,140 is 5.
Thus, LCM of Fractions is 247588/5.Finally, LCM of Fractions for 662/965, 748/140 is 247588/5.