Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1490/598, 2892/9129 quickly i.e. 2154540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1490/598, 2892/9129 is 2154540.
LCM(1490/598, 2892/9129) = 2154540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1490/598,2892/9129
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 1490,2892
Least Common Multiple of Numerators i.e. LCM of 1490,2892 is 2154540.
GCF of Denominators means GCF of 598,9129 as per the given fractions.
GCF of 598,9129 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1490,2892
2 | 1490, 2892 |
745, 1446 |
∴ So the LCM of the given numbers is 2 x 745 x 1446 = 2154540
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 1490,2892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1490,2892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1490,2892) x common factors =2 x 1 = 2
LCM(1490,2892) = ( 1490 × 2892 ) / 2
LCM(1490,2892) = 4309080 / 2
LCM(1490,2892) = 2154540
Lets's calculate GCF of 598,9129
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2154540/1
Therefore the LCM of Fractions 1490/598,2892/9129 is 2154540
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 9129
List of positive integer factors of 9129 that divides 9129 without a remainder.
1,3,17,51,179,537,3043,9129
Greatest Common Factor
We found the factors 598,9129 . The biggest common factor number is the GCF number.
So the greatest common factor 598,9129 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 1490/598, 2892/9129?
Answer: LCM of Numerators as per given numbers 1490/598, 2892/9129 is
LCM of Numerators i.e. for 1490,2892 is 2154540
GCF of denominators i.e. for 598,9129 is 1.
Thus, LCM of Fractions is 2154540.Finally, LCM of Fractions for 1490/598, 2892/9129 is 2154540.