Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 891/372, 904/974, 791/645 quickly i.e. 5638248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 891/372, 904/974, 791/645 is 5638248.
LCM(891/372, 904/974, 791/645) = 5638248
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 891/372,904/974,791/645
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 891,904,791
Least Common Multiple of Numerators i.e. LCM of 891,904,791 is 5638248.
GCF of Denominators means GCF of 372,974,645 as per the given fractions.
GCF of 372,974,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 891,904,791
113 | 891, 904, 791 |
891, 8, 7 |
∴ So the LCM of the given numbers is 113 x 891 x 8 x 7 = 5638248
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 891,904,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,904,791) = 1
common factors(in case of two or more numbers have common factors) = 113
GCF(891,904,791) x common factors =1 x 113 = 113
LCM(891,904,791) = ( 891 × 904 × 791 ) / 113
LCM(891,904,791) = 637122024 / 113
LCM(891,904,791) = 5638248
Lets's calculate GCF of 372,974,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5638248/1
Therefore the LCM of Fractions 891/372,904/974,791/645 is 5638248
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 372,974,645 . The biggest common factor number is the GCF number.
So the greatest common factor 372,974,645 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 891/372, 904/974, 791/645?
Answer: LCM of Numerators as per given numbers 891/372, 904/974, 791/645 is
LCM of Numerators i.e. for 891,904,791 is 5638248
GCF of denominators i.e. for 372,974,645 is 1.
Thus, LCM of Fractions is 5638248.Finally, LCM of Fractions for 891/372, 904/974, 791/645 is 5638248.