Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 984/57, 139/74, 763/392 quickly i.e. 104360088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 984/57, 139/74, 763/392 is 104360088.
LCM(984/57, 139/74, 763/392) = 104360088
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 984/57,139/74,763/392
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 984,139,763
Least Common Multiple of Numerators i.e. LCM of 984,139,763 is 104360088.
GCF of Denominators means GCF of 57,74,392 as per the given fractions.
GCF of 57,74,392 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 984,139,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 104360088
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 984,139,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,139,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(984,139,763) x common factors =1 x 1 = 1
LCM(984,139,763) = ( 984 × 139 × 763 ) / 1
LCM(984,139,763) = 104360088 / 1
LCM(984,139,763) = 104360088
Lets's calculate GCF of 57,74,392
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104360088/1
Therefore the LCM of Fractions 984/57,139/74,763/392 is 104360088
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 57,74,392 . The biggest common factor number is the GCF number.
So the greatest common factor 57,74,392 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 984/57, 139/74, 763/392?
Answer: LCM of Numerators as per given numbers 984/57, 139/74, 763/392 is
LCM of Numerators i.e. for 984,139,763 is 104360088
GCF of denominators i.e. for 57,74,392 is 1.
Thus, LCM of Fractions is 104360088.Finally, LCM of Fractions for 984/57, 139/74, 763/392 is 104360088.