Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/14, 2/74, 80/53, 55/267 quickly i.e. 880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/14, 2/74, 80/53, 55/267 is 880.
LCM(8/14, 2/74, 80/53, 55/267) = 880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/14,2/74,80/53,55/267
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 8,2,80,55
Least Common Multiple of Numerators i.e. LCM of 8,2,80,55 is 880.
GCF of Denominators means GCF of 14,74,53,267 as per the given fractions.
GCF of 14,74,53,267 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,2,80,55
2 | 8, 2, 80, 55 |
2 | 4, 1, 40, 55 |
2 | 2, 1, 20, 55 |
5 | 1, 1, 10, 55 |
1, 1, 2, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 1 x 2 x 11 = 880
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 8,2,80,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,2,80,55) = 1
common factors(in case of two or more numbers have common factors) = 80
GCF(8,2,80,55) x common factors =1 x 80 = 80
LCM(8,2,80,55) = ( 8 × 2 × 80 × 55 ) / 80
LCM(8,2,80,55) = 70400 / 80
LCM(8,2,80,55) = 880
Lets's calculate GCF of 14,74,53,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 880/1
Therefore the LCM of Fractions 8/14,2/74,80/53,55/267 is 880
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 14,74,53,267 . The biggest common factor number is the GCF number.
So the greatest common factor 14,74,53,267 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 8/14, 2/74, 80/53, 55/267?
Answer: LCM of Numerators as per given numbers 8/14, 2/74, 80/53, 55/267 is
LCM of Numerators i.e. for 8,2,80,55 is 880
GCF of denominators i.e. for 14,74,53,267 is 1.
Thus, LCM of Fractions is 880.Finally, LCM of Fractions for 8/14, 2/74, 80/53, 55/267 is 880.