Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/394, 84/948, 921/196 quickly i.e. 296562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/394, 84/948, 921/196 is 296562.
LCM(46/394, 84/948, 921/196) = 296562
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/394,84/948,921/196
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 46,84,921
Least Common Multiple of Numerators i.e. LCM of 46,84,921 is 593124.
GCF of Denominators means GCF of 394,948,196 as per the given fractions.
GCF of 394,948,196 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,84,921
2 | 46, 84, 921 |
3 | 23, 42, 921 |
23, 14, 307 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 14 x 307 = 593124
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 46,84,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,84,921) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(46,84,921) x common factors =1 x 6 = 6
LCM(46,84,921) = ( 46 × 84 × 921 ) / 6
LCM(46,84,921) = 3558744 / 6
LCM(46,84,921) = 593124
Lets's calculate GCF of 394,948,196
2 | 394, 948, 196 |
197, 474, 98 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 593124/2
Therefore the LCM of Fractions 46/394,84/948,921/196 is 296562
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 394,948,196 . The biggest common factor number is the GCF number.
So the greatest common factor 394,948,196 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 46/394, 84/948, 921/196?
Answer: LCM of Numerators as per given numbers 46/394, 84/948, 921/196 is
LCM of Numerators i.e. for 46,84,921 is 593124
GCF of denominators i.e. for 394,948,196 is 2.
Thus, LCM of Fractions is 296562.Finally, LCM of Fractions for 46/394, 84/948, 921/196 is 296562.