Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2172/55, 3360/236 quickly i.e. 608160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2172/55, 3360/236 is 608160.
LCM(2172/55, 3360/236) = 608160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2172/55,3360/236
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 2172,3360
Least Common Multiple of Numerators i.e. LCM of 2172,3360 is 608160.
GCF of Denominators means GCF of 55,236 as per the given fractions.
GCF of 55,236 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2172,3360
2 | 2172, 3360 |
2 | 1086, 1680 |
3 | 543, 840 |
181, 280 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 181 x 280 = 608160
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 2172,3360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2172,3360) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(2172,3360) x common factors =12 x 1 = 12
LCM(2172,3360) = ( 2172 × 3360 ) / 12
LCM(2172,3360) = 7297920 / 12
LCM(2172,3360) = 608160
Lets's calculate GCF of 55,236
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 608160/1
Therefore the LCM of Fractions 2172/55,3360/236 is 608160
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Greatest Common Factor
We found the factors 55,236 . The biggest common factor number is the GCF number.
So the greatest common factor 55,236 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 2172/55, 3360/236?
Answer: LCM of Numerators as per given numbers 2172/55, 3360/236 is
LCM of Numerators i.e. for 2172,3360 is 608160
GCF of denominators i.e. for 55,236 is 1.
Thus, LCM of Fractions is 608160.Finally, LCM of Fractions for 2172/55, 3360/236 is 608160.