Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 737/148, 884/703 quickly i.e. 651508/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 737/148, 884/703 is 651508/37.
LCM(737/148, 884/703) = 651508/37
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 737/148,884/703
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 737,884
Least Common Multiple of Numerators i.e. LCM of 737,884 is 651508.
GCF of Denominators means GCF of 148,703 as per the given fractions.
GCF of 148,703 is 37 as it is the largest common factor for these numbers.
Lets's calculate LCM of 737,884
Given numbers has no common factors except 1. So, there LCM is their product i.e 651508
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 737,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,884) x common factors =1 x 1 = 1
LCM(737,884) = ( 737 × 884 ) / 1
LCM(737,884) = 651508 / 1
LCM(737,884) = 651508
Lets's calculate GCF of 148,703
37 | 148, 703 |
4, 19 |
∴ So the GCF of the given numbers is 37 = 37
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 651508/37
Therefore the LCM of Fractions 737/148,884/703 is 651508/37
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Greatest Common Factor
We found the factors 148,703 . The biggest common factor number is the GCF number.
So the greatest common factor 148,703 is 37.
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 737/148, 884/703?
Answer: LCM of Numerators as per given numbers 737/148, 884/703 is
LCM of Numerators i.e. for 737,884 is 651508
GCF of denominators i.e. for 148,703 is 37.
Thus, LCM of Fractions is 651508/37.Finally, LCM of Fractions for 737/148, 884/703 is 651508/37.