Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/51, 94/42, 51/50, 94/925 quickly i.e. 4794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/51, 94/42, 51/50, 94/925 is 4794.
LCM(34/51, 94/42, 51/50, 94/925) = 4794
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/51,94/42,51/50,94/925
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 34,94,51,94
Least Common Multiple of Numerators i.e. LCM of 34,94,51,94 is 4794.
GCF of Denominators means GCF of 51,42,50,925 as per the given fractions.
GCF of 51,42,50,925 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,94,51,94
2 | 34, 94, 51, 94 |
17 | 17, 47, 51, 47 |
47 | 1, 47, 3, 47 |
1, 1, 3, 1 |
∴ So the LCM of the given numbers is 2 x 17 x 47 x 1 x 1 x 3 x 1 = 4794
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 34,94,51,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,94,51,94) = 1
common factors(in case of two or more numbers have common factors) = 3196
GCF(34,94,51,94) x common factors =1 x 3196 = 3196
LCM(34,94,51,94) = ( 34 × 94 × 51 × 94 ) / 3196
LCM(34,94,51,94) = 15321624 / 3196
LCM(34,94,51,94) = 4794
Lets's calculate GCF of 51,42,50,925
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4794/1
Therefore the LCM of Fractions 34/51,94/42,51/50,94/925 is 4794
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Greatest Common Factor
We found the factors 51,42,50,925 . The biggest common factor number is the GCF number.
So the greatest common factor 51,42,50,925 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 34/51, 94/42, 51/50, 94/925?
Answer: LCM of Numerators as per given numbers 34/51, 94/42, 51/50, 94/925 is
LCM of Numerators i.e. for 34,94,51,94 is 4794
GCF of denominators i.e. for 51,42,50,925 is 1.
Thus, LCM of Fractions is 4794.Finally, LCM of Fractions for 34/51, 94/42, 51/50, 94/925 is 4794.