Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1154/379, 2544/2698 quickly i.e. 1467888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1154/379, 2544/2698 is 1467888.
LCM(1154/379, 2544/2698) = 1467888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1154/379,2544/2698
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 1154,2544
Least Common Multiple of Numerators i.e. LCM of 1154,2544 is 1467888.
GCF of Denominators means GCF of 379,2698 as per the given fractions.
GCF of 379,2698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1154,2544
2 | 1154, 2544 |
577, 1272 |
∴ So the LCM of the given numbers is 2 x 577 x 1272 = 1467888
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 1154,2544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1154,2544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1154,2544) x common factors =2 x 1 = 2
LCM(1154,2544) = ( 1154 × 2544 ) / 2
LCM(1154,2544) = 2935776 / 2
LCM(1154,2544) = 1467888
Lets's calculate GCF of 379,2698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1467888/1
Therefore the LCM of Fractions 1154/379,2544/2698 is 1467888
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 2698
List of positive integer factors of 2698 that divides 2698 without a remainder.
1,2,19,38,71,142,1349,2698
Greatest Common Factor
We found the factors 379,2698 . The biggest common factor number is the GCF number.
So the greatest common factor 379,2698 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 1154/379, 2544/2698?
Answer: LCM of Numerators as per given numbers 1154/379, 2544/2698 is
LCM of Numerators i.e. for 1154,2544 is 1467888
GCF of denominators i.e. for 379,2698 is 1.
Thus, LCM of Fractions is 1467888.Finally, LCM of Fractions for 1154/379, 2544/2698 is 1467888.