Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 541/760, 3377/760 quickly i.e. 1826957/760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 541/760, 3377/760 is 1826957/760.
LCM(541/760, 3377/760) = 1826957/760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 541/760,3377/760
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 541,3377
Least Common Multiple of Numerators i.e. LCM of 541,3377 is 1826957.
GCF of Denominators means GCF of 760,760 as per the given fractions.
GCF of 760,760 is 760 as it is the largest common factor for these numbers.
Lets's calculate LCM of 541,3377
Given numbers has no common factors except 1. So, there LCM is their product i.e 1826957
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 541,3377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,3377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,3377) x common factors =1 x 1 = 1
LCM(541,3377) = ( 541 × 3377 ) / 1
LCM(541,3377) = 1826957 / 1
LCM(541,3377) = 1826957
Lets's calculate GCF of 760,760
2 | 760, 760 |
2 | 380, 380 |
2 | 190, 190 |
5 | 95, 95 |
19 | 19, 19 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 x 19 = 760
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1826957/760
Therefore the LCM of Fractions 541/760,3377/760 is 1826957/760
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 760,760 . The biggest common factor number is the GCF number.
So the greatest common factor 760,760 is 760.
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 541/760, 3377/760?
Answer: LCM of Numerators as per given numbers 541/760, 3377/760 is
LCM of Numerators i.e. for 541,3377 is 1826957
GCF of denominators i.e. for 760,760 is 760.
Thus, LCM of Fractions is 1826957/760.Finally, LCM of Fractions for 541/760, 3377/760 is 1826957/760.