Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/78, 188/32, 547/676 quickly i.e. 51418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/78, 188/32, 547/676 is 51418.
LCM(47/78, 188/32, 547/676) = 51418
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/78,188/32,547/676
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 47,188,547
Least Common Multiple of Numerators i.e. LCM of 47,188,547 is 102836.
GCF of Denominators means GCF of 78,32,676 as per the given fractions.
GCF of 78,32,676 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,188,547
47 | 47, 188, 547 |
1, 4, 547 |
∴ So the LCM of the given numbers is 47 x 1 x 4 x 547 = 102836
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 47,188,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,188,547) = 1
common factors(in case of two or more numbers have common factors) = 47
GCF(47,188,547) x common factors =1 x 47 = 47
LCM(47,188,547) = ( 47 × 188 × 547 ) / 47
LCM(47,188,547) = 4833292 / 47
LCM(47,188,547) = 102836
Lets's calculate GCF of 78,32,676
2 | 78, 32, 676 |
39, 16, 338 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102836/2
Therefore the LCM of Fractions 47/78,188/32,547/676 is 51418
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 78,32,676 . The biggest common factor number is the GCF number.
So the greatest common factor 78,32,676 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 47/78, 188/32, 547/676?
Answer: LCM of Numerators as per given numbers 47/78, 188/32, 547/676 is
LCM of Numerators i.e. for 47,188,547 is 102836
GCF of denominators i.e. for 78,32,676 is 2.
Thus, LCM of Fractions is 51418.Finally, LCM of Fractions for 47/78, 188/32, 547/676 is 51418.