Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/937, 558/97, 547/716 quickly i.e. 10682910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/937, 558/97, 547/716 is 10682910.
LCM(35/937, 558/97, 547/716) = 10682910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/937,558/97,547/716
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 35,558,547
Least Common Multiple of Numerators i.e. LCM of 35,558,547 is 10682910.
GCF of Denominators means GCF of 937,97,716 as per the given fractions.
GCF of 937,97,716 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,558,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 10682910
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 35,558,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,558,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,558,547) x common factors =1 x 1 = 1
LCM(35,558,547) = ( 35 × 558 × 547 ) / 1
LCM(35,558,547) = 10682910 / 1
LCM(35,558,547) = 10682910
Lets's calculate GCF of 937,97,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10682910/1
Therefore the LCM of Fractions 35/937,558/97,547/716 is 10682910
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 937,97,716 . The biggest common factor number is the GCF number.
So the greatest common factor 937,97,716 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 35/937, 558/97, 547/716?
Answer: LCM of Numerators as per given numbers 35/937, 558/97, 547/716 is
LCM of Numerators i.e. for 35,558,547 is 10682910
GCF of denominators i.e. for 937,97,716 is 1.
Thus, LCM of Fractions is 10682910.Finally, LCM of Fractions for 35/937, 558/97, 547/716 is 10682910.