Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 943/77, 759/1397 quickly i.e. 2829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 943/77, 759/1397 is 2829.
LCM(943/77, 759/1397) = 2829
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 943/77,759/1397
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 943,759
Least Common Multiple of Numerators i.e. LCM of 943,759 is 31119.
GCF of Denominators means GCF of 77,1397 as per the given fractions.
GCF of 77,1397 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 943,759
23 | 943, 759 |
41, 33 |
∴ So the LCM of the given numbers is 23 x 41 x 33 = 31119
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 943,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,759) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(943,759) x common factors =23 x 1 = 23
LCM(943,759) = ( 943 × 759 ) / 23
LCM(943,759) = 715737 / 23
LCM(943,759) = 31119
Lets's calculate GCF of 77,1397
11 | 77, 1397 |
7, 127 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31119/11
Therefore the LCM of Fractions 943/77,759/1397 is 2829
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 1397
List of positive integer factors of 1397 that divides 1397 without a remainder.
1,11,127,1397
Greatest Common Factor
We found the factors 77,1397 . The biggest common factor number is the GCF number.
So the greatest common factor 77,1397 is 11.
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 943/77, 759/1397?
Answer: LCM of Numerators as per given numbers 943/77, 759/1397 is
LCM of Numerators i.e. for 943,759 is 31119
GCF of denominators i.e. for 77,1397 is 11.
Thus, LCM of Fractions is 2829.Finally, LCM of Fractions for 943/77, 759/1397 is 2829.