Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 841/35, 235/2220 quickly i.e. 39527 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 841/35, 235/2220 is 39527.
LCM(841/35, 235/2220) = 39527
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 841/35,235/2220
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 841,235
Least Common Multiple of Numerators i.e. LCM of 841,235 is 197635.
GCF of Denominators means GCF of 35,2220 as per the given fractions.
GCF of 35,2220 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 841,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 197635
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 841,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,235) x common factors =1 x 1 = 1
LCM(841,235) = ( 841 × 235 ) / 1
LCM(841,235) = 197635 / 1
LCM(841,235) = 197635
Lets's calculate GCF of 35,2220
5 | 35, 2220 |
7, 444 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197635/5
Therefore the LCM of Fractions 841/35,235/2220 is 39527
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 2220
List of positive integer factors of 2220 that divides 2220 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220
Greatest Common Factor
We found the factors 35,2220 . The biggest common factor number is the GCF number.
So the greatest common factor 35,2220 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 841/35, 235/2220?
Answer: LCM of Numerators as per given numbers 841/35, 235/2220 is
LCM of Numerators i.e. for 841,235 is 197635
GCF of denominators i.e. for 35,2220 is 5.
Thus, LCM of Fractions is 39527.Finally, LCM of Fractions for 841/35, 235/2220 is 39527.