Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 937/55, 364/5915 quickly i.e. 341068/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 937/55, 364/5915 is 341068/5.
LCM(937/55, 364/5915) = 341068/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 937/55,364/5915
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 937,364
Least Common Multiple of Numerators i.e. LCM of 937,364 is 341068.
GCF of Denominators means GCF of 55,5915 as per the given fractions.
GCF of 55,5915 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 937,364
Given numbers has no common factors except 1. So, there LCM is their product i.e 341068
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 937,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,364) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,364) x common factors =1 x 1 = 1
LCM(937,364) = ( 937 × 364 ) / 1
LCM(937,364) = 341068 / 1
LCM(937,364) = 341068
Lets's calculate GCF of 55,5915
5 | 55, 5915 |
11, 1183 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341068/5
Therefore the LCM of Fractions 937/55,364/5915 is 341068/5
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 5915
List of positive integer factors of 5915 that divides 5915 without a remainder.
1,5,7,13,35,65,91,169,455,845,1183,5915
Greatest Common Factor
We found the factors 55,5915 . The biggest common factor number is the GCF number.
So the greatest common factor 55,5915 is 5.
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 937/55, 364/5915?
Answer: LCM of Numerators as per given numbers 937/55, 364/5915 is
LCM of Numerators i.e. for 937,364 is 341068
GCF of denominators i.e. for 55,5915 is 5.
Thus, LCM of Fractions is 341068/5.Finally, LCM of Fractions for 937/55, 364/5915 is 341068/5.