Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/242, 82/902, 668/284 quickly i.e. 835334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/242, 82/902, 668/284 is 835334.
LCM(61/242, 82/902, 668/284) = 835334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/242,82/902,668/284
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 61,82,668
Least Common Multiple of Numerators i.e. LCM of 61,82,668 is 1670668.
GCF of Denominators means GCF of 242,902,284 as per the given fractions.
GCF of 242,902,284 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,82,668
2 | 61, 82, 668 |
61, 41, 334 |
∴ So the LCM of the given numbers is 2 x 61 x 41 x 334 = 1670668
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 61,82,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,82,668) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(61,82,668) x common factors =1 x 2 = 2
LCM(61,82,668) = ( 61 × 82 × 668 ) / 2
LCM(61,82,668) = 3341336 / 2
LCM(61,82,668) = 1670668
Lets's calculate GCF of 242,902,284
2 | 242, 902, 284 |
121, 451, 142 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1670668/2
Therefore the LCM of Fractions 61/242,82/902,668/284 is 835334
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 242,902,284 . The biggest common factor number is the GCF number.
So the greatest common factor 242,902,284 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 61/242, 82/902, 668/284?
Answer: LCM of Numerators as per given numbers 61/242, 82/902, 668/284 is
LCM of Numerators i.e. for 61,82,668 is 1670668
GCF of denominators i.e. for 242,902,284 is 2.
Thus, LCM of Fractions is 835334.Finally, LCM of Fractions for 61/242, 82/902, 668/284 is 835334.