Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 918/38, 292/90, 944/24 quickly i.e. 15815304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 918/38, 292/90, 944/24 is 15815304.
LCM(918/38, 292/90, 944/24) = 15815304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 918/38,292/90,944/24
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 918,292,944
Least Common Multiple of Numerators i.e. LCM of 918,292,944 is 31630608.
GCF of Denominators means GCF of 38,90,24 as per the given fractions.
GCF of 38,90,24 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 918,292,944
2 | 918, 292, 944 |
2 | 459, 146, 472 |
459, 73, 236 |
∴ So the LCM of the given numbers is 2 x 2 x 459 x 73 x 236 = 31630608
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 918,292,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,292,944) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(918,292,944) x common factors =2 x 4 = 8
LCM(918,292,944) = ( 918 × 292 × 944 ) / 8
LCM(918,292,944) = 253044864 / 8
LCM(918,292,944) = 31630608
Lets's calculate GCF of 38,90,24
2 | 38, 90, 24 |
19, 45, 12 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31630608/2
Therefore the LCM of Fractions 918/38,292/90,944/24 is 15815304
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Greatest Common Factor
We found the factors 38,90,24 . The biggest common factor number is the GCF number.
So the greatest common factor 38,90,24 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 918/38, 292/90, 944/24?
Answer: LCM of Numerators as per given numbers 918/38, 292/90, 944/24 is
LCM of Numerators i.e. for 918,292,944 is 31630608
GCF of denominators i.e. for 38,90,24 is 2.
Thus, LCM of Fractions is 15815304.Finally, LCM of Fractions for 918/38, 292/90, 944/24 is 15815304.