Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 138/13, 768/55, 703/261 quickly i.e. 12417792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 138/13, 768/55, 703/261 is 12417792.
LCM(138/13, 768/55, 703/261) = 12417792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 138/13,768/55,703/261
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 138,768,703
Least Common Multiple of Numerators i.e. LCM of 138,768,703 is 12417792.
GCF of Denominators means GCF of 13,55,261 as per the given fractions.
GCF of 13,55,261 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 138,768,703
2 | 138, 768, 703 |
3 | 69, 384, 703 |
23, 128, 703 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 128 x 703 = 12417792
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 138,768,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,768,703) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(138,768,703) x common factors =1 x 6 = 6
LCM(138,768,703) = ( 138 × 768 × 703 ) / 6
LCM(138,768,703) = 74506752 / 6
LCM(138,768,703) = 12417792
Lets's calculate GCF of 13,55,261
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12417792/1
Therefore the LCM of Fractions 138/13,768/55,703/261 is 12417792
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Greatest Common Factor
We found the factors 13,55,261 . The biggest common factor number is the GCF number.
So the greatest common factor 13,55,261 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 138/13, 768/55, 703/261?
Answer: LCM of Numerators as per given numbers 138/13, 768/55, 703/261 is
LCM of Numerators i.e. for 138,768,703 is 12417792
GCF of denominators i.e. for 13,55,261 is 1.
Thus, LCM of Fractions is 12417792.Finally, LCM of Fractions for 138/13, 768/55, 703/261 is 12417792.