Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 847/718, 930/359 quickly i.e. 787710/359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 847/718, 930/359 is 787710/359.
LCM(847/718, 930/359) = 787710/359
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 847/718,930/359
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 847,930
Least Common Multiple of Numerators i.e. LCM of 847,930 is 787710.
GCF of Denominators means GCF of 718,359 as per the given fractions.
GCF of 718,359 is 359 as it is the largest common factor for these numbers.
Lets's calculate LCM of 847,930
Given numbers has no common factors except 1. So, there LCM is their product i.e 787710
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 847,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,930) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,930) x common factors =1 x 1 = 1
LCM(847,930) = ( 847 × 930 ) / 1
LCM(847,930) = 787710 / 1
LCM(847,930) = 787710
Lets's calculate GCF of 718,359
359 | 718, 359 |
2, 1 |
∴ So the GCF of the given numbers is 359 = 359
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 787710/359
Therefore the LCM of Fractions 847/718,930/359 is 787710/359
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 718,359 . The biggest common factor number is the GCF number.
So the greatest common factor 718,359 is 359.
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 847/718, 930/359?
Answer: LCM of Numerators as per given numbers 847/718, 930/359 is
LCM of Numerators i.e. for 847,930 is 787710
GCF of denominators i.e. for 718,359 is 359.
Thus, LCM of Fractions is 787710/359.Finally, LCM of Fractions for 847/718, 930/359 is 787710/359.