Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 175/854, 7933/655 quickly i.e. 1388275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 175/854, 7933/655 is 1388275.
LCM(175/854, 7933/655) = 1388275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 175/854,7933/655
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 175,7933
Least Common Multiple of Numerators i.e. LCM of 175,7933 is 1388275.
GCF of Denominators means GCF of 854,655 as per the given fractions.
GCF of 854,655 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 175,7933
Given numbers has no common factors except 1. So, there LCM is their product i.e 1388275
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 175,7933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,7933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,7933) x common factors =1 x 1 = 1
LCM(175,7933) = ( 175 × 7933 ) / 1
LCM(175,7933) = 1388275 / 1
LCM(175,7933) = 1388275
Lets's calculate GCF of 854,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1388275/1
Therefore the LCM of Fractions 175/854,7933/655 is 1388275
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 854,655 . The biggest common factor number is the GCF number.
So the greatest common factor 854,655 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 175/854, 7933/655?
Answer: LCM of Numerators as per given numbers 175/854, 7933/655 is
LCM of Numerators i.e. for 175,7933 is 1388275
GCF of denominators i.e. for 854,655 is 1.
Thus, LCM of Fractions is 1388275.Finally, LCM of Fractions for 175/854, 7933/655 is 1388275.