Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 316/62, 6887/900 quickly i.e. 1088146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 316/62, 6887/900 is 1088146.
LCM(316/62, 6887/900) = 1088146
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 316/62,6887/900
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 316,6887
Least Common Multiple of Numerators i.e. LCM of 316,6887 is 2176292.
GCF of Denominators means GCF of 62,900 as per the given fractions.
GCF of 62,900 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 316,6887
Given numbers has no common factors except 1. So, there LCM is their product i.e 2176292
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 316,6887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,6887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(316,6887) x common factors =1 x 1 = 1
LCM(316,6887) = ( 316 × 6887 ) / 1
LCM(316,6887) = 2176292 / 1
LCM(316,6887) = 2176292
Lets's calculate GCF of 62,900
2 | 62, 900 |
31, 450 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2176292/2
Therefore the LCM of Fractions 316/62,6887/900 is 1088146
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 62,900 . The biggest common factor number is the GCF number.
So the greatest common factor 62,900 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 316/62, 6887/900?
Answer: LCM of Numerators as per given numbers 316/62, 6887/900 is
LCM of Numerators i.e. for 316,6887 is 2176292
GCF of denominators i.e. for 62,900 is 2.
Thus, LCM of Fractions is 1088146.Finally, LCM of Fractions for 316/62, 6887/900 is 1088146.