Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/127, 513/196, 893/213 quickly i.e. 1928880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/127, 513/196, 893/213 is 1928880.
LCM(80/127, 513/196, 893/213) = 1928880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/127,513/196,893/213
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 80,513,893
Least Common Multiple of Numerators i.e. LCM of 80,513,893 is 1928880.
GCF of Denominators means GCF of 127,196,213 as per the given fractions.
GCF of 127,196,213 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,513,893
19 | 80, 513, 893 |
80, 27, 47 |
∴ So the LCM of the given numbers is 19 x 80 x 27 x 47 = 1928880
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 80,513,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,513,893) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(80,513,893) x common factors =1 x 19 = 19
LCM(80,513,893) = ( 80 × 513 × 893 ) / 19
LCM(80,513,893) = 36648720 / 19
LCM(80,513,893) = 1928880
Lets's calculate GCF of 127,196,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1928880/1
Therefore the LCM of Fractions 80/127,513/196,893/213 is 1928880
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 127,196,213 . The biggest common factor number is the GCF number.
So the greatest common factor 127,196,213 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 80/127, 513/196, 893/213?
Answer: LCM of Numerators as per given numbers 80/127, 513/196, 893/213 is
LCM of Numerators i.e. for 80,513,893 is 1928880
GCF of denominators i.e. for 127,196,213 is 1.
Thus, LCM of Fractions is 1928880.Finally, LCM of Fractions for 80/127, 513/196, 893/213 is 1928880.