Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/89, 763/56, 895/369 quickly i.e. 23218090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/89, 763/56, 895/369 is 23218090.
LCM(34/89, 763/56, 895/369) = 23218090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/89,763/56,895/369
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 34,763,895
Least Common Multiple of Numerators i.e. LCM of 34,763,895 is 23218090.
GCF of Denominators means GCF of 89,56,369 as per the given fractions.
GCF of 89,56,369 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,763,895
Given numbers has no common factors except 1. So, there LCM is their product i.e 23218090
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 34,763,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,763,895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,763,895) x common factors =1 x 1 = 1
LCM(34,763,895) = ( 34 × 763 × 895 ) / 1
LCM(34,763,895) = 23218090 / 1
LCM(34,763,895) = 23218090
Lets's calculate GCF of 89,56,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23218090/1
Therefore the LCM of Fractions 34/89,763/56,895/369 is 23218090
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 89,56,369 . The biggest common factor number is the GCF number.
So the greatest common factor 89,56,369 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 34/89, 763/56, 895/369?
Answer: LCM of Numerators as per given numbers 34/89, 763/56, 895/369 is
LCM of Numerators i.e. for 34,763,895 is 23218090
GCF of denominators i.e. for 89,56,369 is 1.
Thus, LCM of Fractions is 23218090.Finally, LCM of Fractions for 34/89, 763/56, 895/369 is 23218090.