Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 109/887, 370/936 quickly i.e. 40330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 109/887, 370/936 is 40330.
LCM(109/887, 370/936) = 40330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 109/887,370/936
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 109,370
Least Common Multiple of Numerators i.e. LCM of 109,370 is 40330.
GCF of Denominators means GCF of 887,936 as per the given fractions.
GCF of 887,936 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 109,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 40330
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 109,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,370) x common factors =1 x 1 = 1
LCM(109,370) = ( 109 × 370 ) / 1
LCM(109,370) = 40330 / 1
LCM(109,370) = 40330
Lets's calculate GCF of 887,936
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40330/1
Therefore the LCM of Fractions 109/887,370/936 is 40330
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 887,936 . The biggest common factor number is the GCF number.
So the greatest common factor 887,936 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 109/887, 370/936?
Answer: LCM of Numerators as per given numbers 109/887, 370/936 is
LCM of Numerators i.e. for 109,370 is 40330
GCF of denominators i.e. for 887,936 is 1.
Thus, LCM of Fractions is 40330.Finally, LCM of Fractions for 109/887, 370/936 is 40330.