Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 997/46, 266/12, 988/674 quickly i.e. 3447626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 997/46, 266/12, 988/674 is 3447626.
LCM(997/46, 266/12, 988/674) = 3447626
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 997/46,266/12,988/674
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 997,266,988
Least Common Multiple of Numerators i.e. LCM of 997,266,988 is 6895252.
GCF of Denominators means GCF of 46,12,674 as per the given fractions.
GCF of 46,12,674 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 997,266,988
2 | 997, 266, 988 |
19 | 997, 133, 494 |
997, 7, 26 |
∴ So the LCM of the given numbers is 2 x 19 x 997 x 7 x 26 = 6895252
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 997,266,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,266,988) = 1
common factors(in case of two or more numbers have common factors) = 38
GCF(997,266,988) x common factors =1 x 38 = 38
LCM(997,266,988) = ( 997 × 266 × 988 ) / 38
LCM(997,266,988) = 262019576 / 38
LCM(997,266,988) = 6895252
Lets's calculate GCF of 46,12,674
2 | 46, 12, 674 |
23, 6, 337 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6895252/2
Therefore the LCM of Fractions 997/46,266/12,988/674 is 3447626
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 46,12,674 . The biggest common factor number is the GCF number.
So the greatest common factor 46,12,674 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 997/46, 266/12, 988/674?
Answer: LCM of Numerators as per given numbers 997/46, 266/12, 988/674 is
LCM of Numerators i.e. for 997,266,988 is 6895252
GCF of denominators i.e. for 46,12,674 is 2.
Thus, LCM of Fractions is 3447626.Finally, LCM of Fractions for 997/46, 266/12, 988/674 is 3447626.