Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/931, 937/703, 956/304 quickly i.e. 9853492/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/931, 937/703, 956/304 is 9853492/19.
LCM(44/931, 937/703, 956/304) = 9853492/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/931,937/703,956/304
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 44,937,956
Least Common Multiple of Numerators i.e. LCM of 44,937,956 is 9853492.
GCF of Denominators means GCF of 931,703,304 as per the given fractions.
GCF of 931,703,304 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,937,956
2 | 44, 937, 956 |
2 | 22, 937, 478 |
11, 937, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 937 x 239 = 9853492
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 44,937,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,937,956) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(44,937,956) x common factors =1 x 4 = 4
LCM(44,937,956) = ( 44 × 937 × 956 ) / 4
LCM(44,937,956) = 39413968 / 4
LCM(44,937,956) = 9853492
Lets's calculate GCF of 931,703,304
19 | 931, 703, 304 |
49, 37, 16 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9853492/19
Therefore the LCM of Fractions 44/931,937/703,956/304 is 9853492/19
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 931,703,304 . The biggest common factor number is the GCF number.
So the greatest common factor 931,703,304 is 19.
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 44/931, 937/703, 956/304?
Answer: LCM of Numerators as per given numbers 44/931, 937/703, 956/304 is
LCM of Numerators i.e. for 44,937,956 is 9853492
GCF of denominators i.e. for 931,703,304 is 19.
Thus, LCM of Fractions is 9853492/19.Finally, LCM of Fractions for 44/931, 937/703, 956/304 is 9853492/19.