Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/21, 903/98, 908/535 quickly i.e. 819924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/21, 903/98, 908/535 is 819924.
LCM(42/21, 903/98, 908/535) = 819924
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/21,903/98,908/535
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 42,903,908
Least Common Multiple of Numerators i.e. LCM of 42,903,908 is 819924.
GCF of Denominators means GCF of 21,98,535 as per the given fractions.
GCF of 21,98,535 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,903,908
2 | 42, 903, 908 |
3 | 21, 903, 454 |
7 | 7, 301, 454 |
1, 43, 454 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 43 x 454 = 819924
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 42,903,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,903,908) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(42,903,908) x common factors =1 x 42 = 42
LCM(42,903,908) = ( 42 × 903 × 908 ) / 42
LCM(42,903,908) = 34436808 / 42
LCM(42,903,908) = 819924
Lets's calculate GCF of 21,98,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 819924/1
Therefore the LCM of Fractions 42/21,903/98,908/535 is 819924
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 21,98,535 . The biggest common factor number is the GCF number.
So the greatest common factor 21,98,535 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 42/21, 903/98, 908/535?
Answer: LCM of Numerators as per given numbers 42/21, 903/98, 908/535 is
LCM of Numerators i.e. for 42,903,908 is 819924
GCF of denominators i.e. for 21,98,535 is 1.
Thus, LCM of Fractions is 819924.Finally, LCM of Fractions for 42/21, 903/98, 908/535 is 819924.