Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/157, 737/980, 359/327 quickly i.e. 14816648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/157, 737/980, 359/327 is 14816648.
LCM(56/157, 737/980, 359/327) = 14816648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/157,737/980,359/327
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 56,737,359
Least Common Multiple of Numerators i.e. LCM of 56,737,359 is 14816648.
GCF of Denominators means GCF of 157,980,327 as per the given fractions.
GCF of 157,980,327 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,737,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 14816648
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 56,737,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,737,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,737,359) x common factors =1 x 1 = 1
LCM(56,737,359) = ( 56 × 737 × 359 ) / 1
LCM(56,737,359) = 14816648 / 1
LCM(56,737,359) = 14816648
Lets's calculate GCF of 157,980,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14816648/1
Therefore the LCM of Fractions 56/157,737/980,359/327 is 14816648
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Greatest Common Factor
We found the factors 157,980,327 . The biggest common factor number is the GCF number.
So the greatest common factor 157,980,327 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 56/157, 737/980, 359/327?
Answer: LCM of Numerators as per given numbers 56/157, 737/980, 359/327 is
LCM of Numerators i.e. for 56,737,359 is 14816648
GCF of denominators i.e. for 157,980,327 is 1.
Thus, LCM of Fractions is 14816648.Finally, LCM of Fractions for 56/157, 737/980, 359/327 is 14816648.