Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 862/55, 157/73, 253/346 quickly i.e. 34239502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 862/55, 157/73, 253/346 is 34239502.
LCM(862/55, 157/73, 253/346) = 34239502
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 862/55,157/73,253/346
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 862,157,253
Least Common Multiple of Numerators i.e. LCM of 862,157,253 is 34239502.
GCF of Denominators means GCF of 55,73,346 as per the given fractions.
GCF of 55,73,346 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 862,157,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 34239502
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 862,157,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,157,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,157,253) x common factors =1 x 1 = 1
LCM(862,157,253) = ( 862 × 157 × 253 ) / 1
LCM(862,157,253) = 34239502 / 1
LCM(862,157,253) = 34239502
Lets's calculate GCF of 55,73,346
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34239502/1
Therefore the LCM of Fractions 862/55,157/73,253/346 is 34239502
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Greatest Common Factor
We found the factors 55,73,346 . The biggest common factor number is the GCF number.
So the greatest common factor 55,73,346 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 862/55, 157/73, 253/346?
Answer: LCM of Numerators as per given numbers 862/55, 157/73, 253/346 is
LCM of Numerators i.e. for 862,157,253 is 34239502
GCF of denominators i.e. for 55,73,346 is 1.
Thus, LCM of Fractions is 34239502.Finally, LCM of Fractions for 862/55, 157/73, 253/346 is 34239502.