Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/263, 84/921, 883/781 quickly i.e. 1483440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/263, 84/921, 883/781 is 1483440.
LCM(80/263, 84/921, 883/781) = 1483440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/263,84/921,883/781
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 80,84,883
Least Common Multiple of Numerators i.e. LCM of 80,84,883 is 1483440.
GCF of Denominators means GCF of 263,921,781 as per the given fractions.
GCF of 263,921,781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,84,883
2 | 80, 84, 883 |
2 | 40, 42, 883 |
20, 21, 883 |
∴ So the LCM of the given numbers is 2 x 2 x 20 x 21 x 883 = 1483440
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 80,84,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,84,883) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(80,84,883) x common factors =1 x 4 = 4
LCM(80,84,883) = ( 80 × 84 × 883 ) / 4
LCM(80,84,883) = 5933760 / 4
LCM(80,84,883) = 1483440
Lets's calculate GCF of 263,921,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1483440/1
Therefore the LCM of Fractions 80/263,84/921,883/781 is 1483440
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 263,921,781 . The biggest common factor number is the GCF number.
So the greatest common factor 263,921,781 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 80/263, 84/921, 883/781?
Answer: LCM of Numerators as per given numbers 80/263, 84/921, 883/781 is
LCM of Numerators i.e. for 80,84,883 is 1483440
GCF of denominators i.e. for 263,921,781 is 1.
Thus, LCM of Fractions is 1483440.Finally, LCM of Fractions for 80/263, 84/921, 883/781 is 1483440.