Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/549, 88/103, 947/438 quickly i.e. 1416712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/549, 88/103, 947/438 is 1416712.
LCM(34/549, 88/103, 947/438) = 1416712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/549,88/103,947/438
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 34,88,947
Least Common Multiple of Numerators i.e. LCM of 34,88,947 is 1416712.
GCF of Denominators means GCF of 549,103,438 as per the given fractions.
GCF of 549,103,438 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,88,947
2 | 34, 88, 947 |
17, 44, 947 |
∴ So the LCM of the given numbers is 2 x 17 x 44 x 947 = 1416712
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 34,88,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,88,947) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,88,947) x common factors =1 x 2 = 2
LCM(34,88,947) = ( 34 × 88 × 947 ) / 2
LCM(34,88,947) = 2833424 / 2
LCM(34,88,947) = 1416712
Lets's calculate GCF of 549,103,438
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1416712/1
Therefore the LCM of Fractions 34/549,88/103,947/438 is 1416712
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 549,103,438 . The biggest common factor number is the GCF number.
So the greatest common factor 549,103,438 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 34/549, 88/103, 947/438?
Answer: LCM of Numerators as per given numbers 34/549, 88/103, 947/438 is
LCM of Numerators i.e. for 34,88,947 is 1416712
GCF of denominators i.e. for 549,103,438 is 1.
Thus, LCM of Fractions is 1416712.Finally, LCM of Fractions for 34/549, 88/103, 947/438 is 1416712.