Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 853/56, 358/4882 quickly i.e. 152687 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 853/56, 358/4882 is 152687.
LCM(853/56, 358/4882) = 152687
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 853/56,358/4882
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 853,358
Least Common Multiple of Numerators i.e. LCM of 853,358 is 305374.
GCF of Denominators means GCF of 56,4882 as per the given fractions.
GCF of 56,4882 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 853,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 305374
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 853,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,358) x common factors =1 x 1 = 1
LCM(853,358) = ( 853 × 358 ) / 1
LCM(853,358) = 305374 / 1
LCM(853,358) = 305374
Lets's calculate GCF of 56,4882
2 | 56, 4882 |
28, 2441 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305374/2
Therefore the LCM of Fractions 853/56,358/4882 is 152687
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 4882
List of positive integer factors of 4882 that divides 4882 without a remainder.
1,2,2441,4882
Greatest Common Factor
We found the factors 56,4882 . The biggest common factor number is the GCF number.
So the greatest common factor 56,4882 is 2.
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 853/56, 358/4882?
Answer: LCM of Numerators as per given numbers 853/56, 358/4882 is
LCM of Numerators i.e. for 853,358 is 305374
GCF of denominators i.e. for 56,4882 is 2.
Thus, LCM of Fractions is 152687.Finally, LCM of Fractions for 853/56, 358/4882 is 152687.