Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1492/629, 5352/646 quickly i.e. 1996296/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1492/629, 5352/646 is 1996296/17.
LCM(1492/629, 5352/646) = 1996296/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1492/629,5352/646
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 1492,5352
Least Common Multiple of Numerators i.e. LCM of 1492,5352 is 1996296.
GCF of Denominators means GCF of 629,646 as per the given fractions.
GCF of 629,646 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1492,5352
2 | 1492, 5352 |
2 | 746, 2676 |
373, 1338 |
∴ So the LCM of the given numbers is 2 x 2 x 373 x 1338 = 1996296
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 1492,5352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1492,5352) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(1492,5352) x common factors =4 x 1 = 4
LCM(1492,5352) = ( 1492 × 5352 ) / 4
LCM(1492,5352) = 7985184 / 4
LCM(1492,5352) = 1996296
Lets's calculate GCF of 629,646
17 | 629, 646 |
37, 38 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1996296/17
Therefore the LCM of Fractions 1492/629,5352/646 is 1996296/17
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 629,646 . The biggest common factor number is the GCF number.
So the greatest common factor 629,646 is 17.
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 1492/629, 5352/646?
Answer: LCM of Numerators as per given numbers 1492/629, 5352/646 is
LCM of Numerators i.e. for 1492,5352 is 1996296
GCF of denominators i.e. for 629,646 is 17.
Thus, LCM of Fractions is 1996296/17.Finally, LCM of Fractions for 1492/629, 5352/646 is 1996296/17.