Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 937/34, 166/39, 254/626 quickly i.e. 19753834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 937/34, 166/39, 254/626 is 19753834.
LCM(937/34, 166/39, 254/626) = 19753834
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 937/34,166/39,254/626
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 937,166,254
Least Common Multiple of Numerators i.e. LCM of 937,166,254 is 19753834.
GCF of Denominators means GCF of 34,39,626 as per the given fractions.
GCF of 34,39,626 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 937,166,254
2 | 937, 166, 254 |
937, 83, 127 |
∴ So the LCM of the given numbers is 2 x 937 x 83 x 127 = 19753834
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 937,166,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,166,254) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(937,166,254) x common factors =1 x 2 = 2
LCM(937,166,254) = ( 937 × 166 × 254 ) / 2
LCM(937,166,254) = 39507668 / 2
LCM(937,166,254) = 19753834
Lets's calculate GCF of 34,39,626
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19753834/1
Therefore the LCM of Fractions 937/34,166/39,254/626 is 19753834
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 34,39,626 . The biggest common factor number is the GCF number.
So the greatest common factor 34,39,626 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 937/34, 166/39, 254/626?
Answer: LCM of Numerators as per given numbers 937/34, 166/39, 254/626 is
LCM of Numerators i.e. for 937,166,254 is 19753834
GCF of denominators i.e. for 34,39,626 is 1.
Thus, LCM of Fractions is 19753834.Finally, LCM of Fractions for 937/34, 166/39, 254/626 is 19753834.