Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/803, 428/707, 381/137 quickly i.e. 15491460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/803, 428/707, 381/137 is 15491460.
LCM(95/803, 428/707, 381/137) = 15491460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/803,428/707,381/137
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 95,428,381
Least Common Multiple of Numerators i.e. LCM of 95,428,381 is 15491460.
GCF of Denominators means GCF of 803,707,137 as per the given fractions.
GCF of 803,707,137 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,428,381
Given numbers has no common factors except 1. So, there LCM is their product i.e 15491460
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 95,428,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,428,381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,428,381) x common factors =1 x 1 = 1
LCM(95,428,381) = ( 95 × 428 × 381 ) / 1
LCM(95,428,381) = 15491460 / 1
LCM(95,428,381) = 15491460
Lets's calculate GCF of 803,707,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15491460/1
Therefore the LCM of Fractions 95/803,428/707,381/137 is 15491460
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 803,707,137 . The biggest common factor number is the GCF number.
So the greatest common factor 803,707,137 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 95/803, 428/707, 381/137?
Answer: LCM of Numerators as per given numbers 95/803, 428/707, 381/137 is
LCM of Numerators i.e. for 95,428,381 is 15491460
GCF of denominators i.e. for 803,707,137 is 1.
Thus, LCM of Fractions is 15491460.Finally, LCM of Fractions for 95/803, 428/707, 381/137 is 15491460.