Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/771, 78/794, 137/721 quickly i.e. 74802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/771, 78/794, 137/721 is 74802.
LCM(42/771, 78/794, 137/721) = 74802
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/771,78/794,137/721
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 42,78,137
Least Common Multiple of Numerators i.e. LCM of 42,78,137 is 74802.
GCF of Denominators means GCF of 771,794,721 as per the given fractions.
GCF of 771,794,721 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,78,137
2 | 42, 78, 137 |
3 | 21, 39, 137 |
7, 13, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 137 = 74802
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 42,78,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,78,137) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(42,78,137) x common factors =1 x 6 = 6
LCM(42,78,137) = ( 42 × 78 × 137 ) / 6
LCM(42,78,137) = 448812 / 6
LCM(42,78,137) = 74802
Lets's calculate GCF of 771,794,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74802/1
Therefore the LCM of Fractions 42/771,78/794,137/721 is 74802
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Greatest Common Factor
We found the factors 771,794,721 . The biggest common factor number is the GCF number.
So the greatest common factor 771,794,721 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 42/771, 78/794, 137/721?
Answer: LCM of Numerators as per given numbers 42/771, 78/794, 137/721 is
LCM of Numerators i.e. for 42,78,137 is 74802
GCF of denominators i.e. for 771,794,721 is 1.
Thus, LCM of Fractions is 74802.Finally, LCM of Fractions for 42/771, 78/794, 137/721 is 74802.