Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/756, 79/434, 655/757 quickly i.e. 2225035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/756, 79/434, 655/757 is 2225035.
LCM(43/756, 79/434, 655/757) = 2225035
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/756,79/434,655/757
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 43,79,655
Least Common Multiple of Numerators i.e. LCM of 43,79,655 is 2225035.
GCF of Denominators means GCF of 756,434,757 as per the given fractions.
GCF of 756,434,757 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,79,655
Given numbers has no common factors except 1. So, there LCM is their product i.e 2225035
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 43,79,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,79,655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,79,655) x common factors =1 x 1 = 1
LCM(43,79,655) = ( 43 × 79 × 655 ) / 1
LCM(43,79,655) = 2225035 / 1
LCM(43,79,655) = 2225035
Lets's calculate GCF of 756,434,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2225035/1
Therefore the LCM of Fractions 43/756,79/434,655/757 is 2225035
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 756,434,757 . The biggest common factor number is the GCF number.
So the greatest common factor 756,434,757 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 43/756, 79/434, 655/757?
Answer: LCM of Numerators as per given numbers 43/756, 79/434, 655/757 is
LCM of Numerators i.e. for 43,79,655 is 2225035
GCF of denominators i.e. for 756,434,757 is 1.
Thus, LCM of Fractions is 2225035.Finally, LCM of Fractions for 43/756, 79/434, 655/757 is 2225035.