Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/949, 307/900, 612/654 quickly i.e. 61062300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/949, 307/900, 612/654 is 61062300.
LCM(650/949, 307/900, 612/654) = 61062300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/949,307/900,612/654
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 650,307,612
Least Common Multiple of Numerators i.e. LCM of 650,307,612 is 61062300.
GCF of Denominators means GCF of 949,900,654 as per the given fractions.
GCF of 949,900,654 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,307,612
2 | 650, 307, 612 |
325, 307, 306 |
∴ So the LCM of the given numbers is 2 x 325 x 307 x 306 = 61062300
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 650,307,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,307,612) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(650,307,612) x common factors =1 x 2 = 2
LCM(650,307,612) = ( 650 × 307 × 612 ) / 2
LCM(650,307,612) = 122124600 / 2
LCM(650,307,612) = 61062300
Lets's calculate GCF of 949,900,654
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61062300/1
Therefore the LCM of Fractions 650/949,307/900,612/654 is 61062300
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
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
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 949,900,654 . The biggest common factor number is the GCF number.
So the greatest common factor 949,900,654 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 650/949, 307/900, 612/654?
Answer: LCM of Numerators as per given numbers 650/949, 307/900, 612/654 is
LCM of Numerators i.e. for 650,307,612 is 61062300
GCF of denominators i.e. for 949,900,654 is 1.
Thus, LCM of Fractions is 61062300.Finally, LCM of Fractions for 650/949, 307/900, 612/654 is 61062300.