Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 148/747, 7705/332 quickly i.e. 1140340/83 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 148/747, 7705/332 is 1140340/83.
LCM(148/747, 7705/332) = 1140340/83
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 148/747,7705/332
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 148,7705
Least Common Multiple of Numerators i.e. LCM of 148,7705 is 1140340.
GCF of Denominators means GCF of 747,332 as per the given fractions.
GCF of 747,332 is 83 as it is the largest common factor for these numbers.
Lets's calculate LCM of 148,7705
Given numbers has no common factors except 1. So, there LCM is their product i.e 1140340
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 148,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,7705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,7705) x common factors =1 x 1 = 1
LCM(148,7705) = ( 148 × 7705 ) / 1
LCM(148,7705) = 1140340 / 1
LCM(148,7705) = 1140340
Lets's calculate GCF of 747,332
83 | 747, 332 |
9, 4 |
∴ So the GCF of the given numbers is 83 = 83
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1140340/83
Therefore the LCM of Fractions 148/747,7705/332 is 1140340/83
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 747,332 . The biggest common factor number is the GCF number.
So the greatest common factor 747,332 is 83.
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 148/747, 7705/332?
Answer: LCM of Numerators as per given numbers 148/747, 7705/332 is
LCM of Numerators i.e. for 148,7705 is 1140340
GCF of denominators i.e. for 747,332 is 83.
Thus, LCM of Fractions is 1140340/83.Finally, LCM of Fractions for 148/747, 7705/332 is 1140340/83.