Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/133, 59/696, 553/916 quickly i.e. 1337707 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/133, 59/696, 553/916 is 1337707.
LCM(41/133, 59/696, 553/916) = 1337707
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/133,59/696,553/916
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 41,59,553
Least Common Multiple of Numerators i.e. LCM of 41,59,553 is 1337707.
GCF of Denominators means GCF of 133,696,916 as per the given fractions.
GCF of 133,696,916 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,59,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 1337707
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 41,59,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,59,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,59,553) x common factors =1 x 1 = 1
LCM(41,59,553) = ( 41 × 59 × 553 ) / 1
LCM(41,59,553) = 1337707 / 1
LCM(41,59,553) = 1337707
Lets's calculate GCF of 133,696,916
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1337707/1
Therefore the LCM of Fractions 41/133,59/696,553/916 is 1337707
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Greatest Common Factor
We found the factors 133,696,916 . The biggest common factor number is the GCF number.
So the greatest common factor 133,696,916 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 41/133, 59/696, 553/916?
Answer: LCM of Numerators as per given numbers 41/133, 59/696, 553/916 is
LCM of Numerators i.e. for 41,59,553 is 1337707
GCF of denominators i.e. for 133,696,916 is 1.
Thus, LCM of Fractions is 1337707.Finally, LCM of Fractions for 41/133, 59/696, 553/916 is 1337707.