Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 675/959, 736/411 quickly i.e. 496800/137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 675/959, 736/411 is 496800/137.
LCM(675/959, 736/411) = 496800/137
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 675/959,736/411
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 675,736
Least Common Multiple of Numerators i.e. LCM of 675,736 is 496800.
GCF of Denominators means GCF of 959,411 as per the given fractions.
GCF of 959,411 is 137 as it is the largest common factor for these numbers.
Lets's calculate LCM of 675,736
Given numbers has no common factors except 1. So, there LCM is their product i.e 496800
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 675,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,736) x common factors =1 x 1 = 1
LCM(675,736) = ( 675 × 736 ) / 1
LCM(675,736) = 496800 / 1
LCM(675,736) = 496800
Lets's calculate GCF of 959,411
137 | 959, 411 |
7, 3 |
∴ So the GCF of the given numbers is 137 = 137
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496800/137
Therefore the LCM of Fractions 675/959,736/411 is 496800/137
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 959,411 . The biggest common factor number is the GCF number.
So the greatest common factor 959,411 is 137.
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 675/959, 736/411?
Answer: LCM of Numerators as per given numbers 675/959, 736/411 is
LCM of Numerators i.e. for 675,736 is 496800
GCF of denominators i.e. for 959,411 is 137.
Thus, LCM of Fractions is 496800/137.Finally, LCM of Fractions for 675/959, 736/411 is 496800/137.