Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 144/524, 692/109, 160/202 quickly i.e. 249120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 144/524, 692/109, 160/202 is 249120.
LCM(144/524, 692/109, 160/202) = 249120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 144/524,692/109,160/202
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 144,692,160
Least Common Multiple of Numerators i.e. LCM of 144,692,160 is 249120.
GCF of Denominators means GCF of 524,109,202 as per the given fractions.
GCF of 524,109,202 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 144,692,160
2 | 144, 692, 160 |
2 | 72, 346, 80 |
2 | 36, 173, 40 |
2 | 18, 173, 20 |
9, 173, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 9 x 173 x 10 = 249120
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 144,692,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,692,160) = 4
common factors(in case of two or more numbers have common factors) = 16
GCF(144,692,160) x common factors =4 x 16 = 64
LCM(144,692,160) = ( 144 × 692 × 160 ) / 64
LCM(144,692,160) = 15943680 / 64
LCM(144,692,160) = 249120
Lets's calculate GCF of 524,109,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249120/1
Therefore the LCM of Fractions 144/524,692/109,160/202 is 249120
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Greatest Common Factor
We found the factors 524,109,202 . The biggest common factor number is the GCF number.
So the greatest common factor 524,109,202 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 144/524, 692/109, 160/202?
Answer: LCM of Numerators as per given numbers 144/524, 692/109, 160/202 is
LCM of Numerators i.e. for 144,692,160 is 249120
GCF of denominators i.e. for 524,109,202 is 1.
Thus, LCM of Fractions is 249120.Finally, LCM of Fractions for 144/524, 692/109, 160/202 is 249120.