Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/91, 48/50, 31/53, 98/698 quickly i.e. 72912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/91, 48/50, 31/53, 98/698 is 72912.
LCM(49/91, 48/50, 31/53, 98/698) = 72912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/91,48/50,31/53,98/698
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 49,48,31,98
Least Common Multiple of Numerators i.e. LCM of 49,48,31,98 is 72912.
GCF of Denominators means GCF of 91,50,53,698 as per the given fractions.
GCF of 91,50,53,698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,48,31,98
2 | 49, 48, 31, 98 |
7 | 49, 24, 31, 49 |
7 | 7, 24, 31, 7 |
1, 24, 31, 1 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 24 x 31 x 1 = 72912
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 49,48,31,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,48,31,98) = 1
common factors(in case of two or more numbers have common factors) = 98
GCF(49,48,31,98) x common factors =1 x 98 = 98
LCM(49,48,31,98) = ( 49 × 48 × 31 × 98 ) / 98
LCM(49,48,31,98) = 7145376 / 98
LCM(49,48,31,98) = 72912
Lets's calculate GCF of 91,50,53,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72912/1
Therefore the LCM of Fractions 49/91,48/50,31/53,98/698 is 72912
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 91,50,53,698 . The biggest common factor number is the GCF number.
So the greatest common factor 91,50,53,698 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 49/91, 48/50, 31/53, 98/698?
Answer: LCM of Numerators as per given numbers 49/91, 48/50, 31/53, 98/698 is
LCM of Numerators i.e. for 49,48,31,98 is 72912
GCF of denominators i.e. for 91,50,53,698 is 1.
Thus, LCM of Fractions is 72912.Finally, LCM of Fractions for 49/91, 48/50, 31/53, 98/698 is 72912.