Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/635, 89/379, 541/869 quickly i.e. 1300023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/635, 89/379, 541/869 is 1300023.
LCM(27/635, 89/379, 541/869) = 1300023
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/635,89/379,541/869
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 27,89,541
Least Common Multiple of Numerators i.e. LCM of 27,89,541 is 1300023.
GCF of Denominators means GCF of 635,379,869 as per the given fractions.
GCF of 635,379,869 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,89,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 1300023
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 27,89,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,89,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,89,541) x common factors =1 x 1 = 1
LCM(27,89,541) = ( 27 × 89 × 541 ) / 1
LCM(27,89,541) = 1300023 / 1
LCM(27,89,541) = 1300023
Lets's calculate GCF of 635,379,869
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1300023/1
Therefore the LCM of Fractions 27/635,89/379,541/869 is 1300023
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Greatest Common Factor
We found the factors 635,379,869 . The biggest common factor number is the GCF number.
So the greatest common factor 635,379,869 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 27/635, 89/379, 541/869?
Answer: LCM of Numerators as per given numbers 27/635, 89/379, 541/869 is
LCM of Numerators i.e. for 27,89,541 is 1300023
GCF of denominators i.e. for 635,379,869 is 1.
Thus, LCM of Fractions is 1300023.Finally, LCM of Fractions for 27/635, 89/379, 541/869 is 1300023.