Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 218/88, 240/1602 quickly i.e. 13080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 218/88, 240/1602 is 13080.
LCM(218/88, 240/1602) = 13080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 218/88,240/1602
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 218,240
Least Common Multiple of Numerators i.e. LCM of 218,240 is 26160.
GCF of Denominators means GCF of 88,1602 as per the given fractions.
GCF of 88,1602 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 218,240
2 | 218, 240 |
109, 120 |
∴ So the LCM of the given numbers is 2 x 109 x 120 = 26160
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 218,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,240) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,240) x common factors =2 x 1 = 2
LCM(218,240) = ( 218 × 240 ) / 2
LCM(218,240) = 52320 / 2
LCM(218,240) = 26160
Lets's calculate GCF of 88,1602
2 | 88, 1602 |
44, 801 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26160/2
Therefore the LCM of Fractions 218/88,240/1602 is 13080
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 1602
List of positive integer factors of 1602 that divides 1602 without a remainder.
1,2,3,6,9,18,89,178,267,534,801,1602
Greatest Common Factor
We found the factors 88,1602 . The biggest common factor number is the GCF number.
So the greatest common factor 88,1602 is 2.
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 218/88, 240/1602?
Answer: LCM of Numerators as per given numbers 218/88, 240/1602 is
LCM of Numerators i.e. for 218,240 is 26160
GCF of denominators i.e. for 88,1602 is 2.
Thus, LCM of Fractions is 13080.Finally, LCM of Fractions for 218/88, 240/1602 is 13080.