Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/34, 265/94, 463/876 quickly i.e. 1104255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/34, 265/94, 463/876 is 1104255.
LCM(18/34, 265/94, 463/876) = 1104255
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/34,265/94,463/876
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 18,265,463
Least Common Multiple of Numerators i.e. LCM of 18,265,463 is 2208510.
GCF of Denominators means GCF of 34,94,876 as per the given fractions.
GCF of 34,94,876 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,265,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 2208510
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 18,265,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,265,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,265,463) x common factors =1 x 1 = 1
LCM(18,265,463) = ( 18 × 265 × 463 ) / 1
LCM(18,265,463) = 2208510 / 1
LCM(18,265,463) = 2208510
Lets's calculate GCF of 34,94,876
2 | 34, 94, 876 |
17, 47, 438 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2208510/2
Therefore the LCM of Fractions 18/34,265/94,463/876 is 1104255
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 34,94,876 . The biggest common factor number is the GCF number.
So the greatest common factor 34,94,876 is 2.
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 18/34, 265/94, 463/876?
Answer: LCM of Numerators as per given numbers 18/34, 265/94, 463/876 is
LCM of Numerators i.e. for 18,265,463 is 2208510
GCF of denominators i.e. for 34,94,876 is 2.
Thus, LCM of Fractions is 1104255.Finally, LCM of Fractions for 18/34, 265/94, 463/876 is 1104255.