Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 406/272, 6962/125 quickly i.e. 1413286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 406/272, 6962/125 is 1413286.
LCM(406/272, 6962/125) = 1413286
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 406/272,6962/125
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 406,6962
Least Common Multiple of Numerators i.e. LCM of 406,6962 is 1413286.
GCF of Denominators means GCF of 272,125 as per the given fractions.
GCF of 272,125 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 406,6962
2 | 406, 6962 |
203, 3481 |
∴ So the LCM of the given numbers is 2 x 203 x 3481 = 1413286
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 406,6962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,6962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,6962) x common factors =2 x 1 = 2
LCM(406,6962) = ( 406 × 6962 ) / 2
LCM(406,6962) = 2826572 / 2
LCM(406,6962) = 1413286
Lets's calculate GCF of 272,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1413286/1
Therefore the LCM of Fractions 406/272,6962/125 is 1413286
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Greatest Common Factor
We found the factors 272,125 . The biggest common factor number is the GCF number.
So the greatest common factor 272,125 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 406/272, 6962/125?
Answer: LCM of Numerators as per given numbers 406/272, 6962/125 is
LCM of Numerators i.e. for 406,6962 is 1413286
GCF of denominators i.e. for 272,125 is 1.
Thus, LCM of Fractions is 1413286.Finally, LCM of Fractions for 406/272, 6962/125 is 1413286.