Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/321, 76/328, 37/917 quickly i.e. 2812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/321, 76/328, 37/917 is 2812.
LCM(1/321, 76/328, 37/917) = 2812
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/321,76/328,37/917
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 1,76,37
Least Common Multiple of Numerators i.e. LCM of 1,76,37 is 2812.
GCF of Denominators means GCF of 321,328,917 as per the given fractions.
GCF of 321,328,917 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,76,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 2812
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 1,76,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,76,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,76,37) x common factors =1 x 1 = 1
LCM(1,76,37) = ( 1 × 76 × 37 ) / 1
LCM(1,76,37) = 2812 / 1
LCM(1,76,37) = 2812
Lets's calculate GCF of 321,328,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2812/1
Therefore the LCM of Fractions 1/321,76/328,37/917 is 2812
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 321,328,917 . The biggest common factor number is the GCF number.
So the greatest common factor 321,328,917 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 1/321, 76/328, 37/917?
Answer: LCM of Numerators as per given numbers 1/321, 76/328, 37/917 is
LCM of Numerators i.e. for 1,76,37 is 2812
GCF of denominators i.e. for 321,328,917 is 1.
Thus, LCM of Fractions is 2812.Finally, LCM of Fractions for 1/321, 76/328, 37/917 is 2812.