Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/42, 311/75, 547/853 quickly i.e. 11908190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/42, 311/75, 547/853 is 11908190.
LCM(70/42, 311/75, 547/853) = 11908190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/42,311/75,547/853
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 70,311,547
Least Common Multiple of Numerators i.e. LCM of 70,311,547 is 11908190.
GCF of Denominators means GCF of 42,75,853 as per the given fractions.
GCF of 42,75,853 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,311,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 11908190
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 70,311,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,311,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,311,547) x common factors =1 x 1 = 1
LCM(70,311,547) = ( 70 × 311 × 547 ) / 1
LCM(70,311,547) = 11908190 / 1
LCM(70,311,547) = 11908190
Lets's calculate GCF of 42,75,853
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11908190/1
Therefore the LCM of Fractions 70/42,311/75,547/853 is 11908190
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Greatest Common Factor
We found the factors 42,75,853 . The biggest common factor number is the GCF number.
So the greatest common factor 42,75,853 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 70/42, 311/75, 547/853?
Answer: LCM of Numerators as per given numbers 70/42, 311/75, 547/853 is
LCM of Numerators i.e. for 70,311,547 is 11908190
GCF of denominators i.e. for 42,75,853 is 1.
Thus, LCM of Fractions is 11908190.Finally, LCM of Fractions for 70/42, 311/75, 547/853 is 11908190.