Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/452, 594/448, 293/160 quickly i.e. 1740420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/452, 594/448, 293/160 is 1740420.
LCM(80/452, 594/448, 293/160) = 1740420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/452,594/448,293/160
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 80,594,293
Least Common Multiple of Numerators i.e. LCM of 80,594,293 is 6961680.
GCF of Denominators means GCF of 452,448,160 as per the given fractions.
GCF of 452,448,160 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,594,293
2 | 80, 594, 293 |
40, 297, 293 |
∴ So the LCM of the given numbers is 2 x 40 x 297 x 293 = 6961680
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 80,594,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,594,293) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(80,594,293) x common factors =1 x 2 = 2
LCM(80,594,293) = ( 80 × 594 × 293 ) / 2
LCM(80,594,293) = 13923360 / 2
LCM(80,594,293) = 6961680
Lets's calculate GCF of 452,448,160
2 | 452, 448, 160 |
2 | 226, 224, 80 |
113, 112, 40 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6961680/4
Therefore the LCM of Fractions 80/452,594/448,293/160 is 1740420
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 452,448,160 . The biggest common factor number is the GCF number.
So the greatest common factor 452,448,160 is 4.
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 80/452, 594/448, 293/160?
Answer: LCM of Numerators as per given numbers 80/452, 594/448, 293/160 is
LCM of Numerators i.e. for 80,594,293 is 6961680
GCF of denominators i.e. for 452,448,160 is 4.
Thus, LCM of Fractions is 1740420.Finally, LCM of Fractions for 80/452, 594/448, 293/160 is 1740420.