Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 903/124, 117/292 quickly i.e. 35217/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 903/124, 117/292 is 35217/4.
LCM(903/124, 117/292) = 35217/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 903/124,117/292
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 903,117
Least Common Multiple of Numerators i.e. LCM of 903,117 is 35217.
GCF of Denominators means GCF of 124,292 as per the given fractions.
GCF of 124,292 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 903,117
3 | 903, 117 |
301, 39 |
∴ So the LCM of the given numbers is 3 x 301 x 39 = 35217
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 903,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(903,117) x common factors =3 x 1 = 3
LCM(903,117) = ( 903 × 117 ) / 3
LCM(903,117) = 105651 / 3
LCM(903,117) = 35217
Lets's calculate GCF of 124,292
2 | 124, 292 |
2 | 62, 146 |
31, 73 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35217/4
Therefore the LCM of Fractions 903/124,117/292 is 35217/4
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 124,292 . The biggest common factor number is the GCF number.
So the greatest common factor 124,292 is 4.
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 903/124, 117/292?
Answer: LCM of Numerators as per given numbers 903/124, 117/292 is
LCM of Numerators i.e. for 903,117 is 35217
GCF of denominators i.e. for 124,292 is 4.
Thus, LCM of Fractions is 35217/4.Finally, LCM of Fractions for 903/124, 117/292 is 35217/4.