Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/807, 207/803, 931/255 quickly i.e. 13104756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/807, 207/803, 931/255 is 13104756.
LCM(68/807, 207/803, 931/255) = 13104756
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/807,207/803,931/255
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 68,207,931
Least Common Multiple of Numerators i.e. LCM of 68,207,931 is 13104756.
GCF of Denominators means GCF of 807,803,255 as per the given fractions.
GCF of 807,803,255 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,207,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 13104756
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 68,207,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,207,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,207,931) x common factors =1 x 1 = 1
LCM(68,207,931) = ( 68 × 207 × 931 ) / 1
LCM(68,207,931) = 13104756 / 1
LCM(68,207,931) = 13104756
Lets's calculate GCF of 807,803,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13104756/1
Therefore the LCM of Fractions 68/807,207/803,931/255 is 13104756
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 807,803,255 . The biggest common factor number is the GCF number.
So the greatest common factor 807,803,255 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 68/807, 207/803, 931/255?
Answer: LCM of Numerators as per given numbers 68/807, 207/803, 931/255 is
LCM of Numerators i.e. for 68,207,931 is 13104756
GCF of denominators i.e. for 807,803,255 is 1.
Thus, LCM of Fractions is 13104756.Finally, LCM of Fractions for 68/807, 207/803, 931/255 is 13104756.