Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/758, 739/885, 307/670 quickly i.e. 147467450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/758, 739/885, 307/670 is 147467450.
LCM(650/758, 739/885, 307/670) = 147467450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/758,739/885,307/670
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 650,739,307
Least Common Multiple of Numerators i.e. LCM of 650,739,307 is 147467450.
GCF of Denominators means GCF of 758,885,670 as per the given fractions.
GCF of 758,885,670 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,739,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 147467450
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 650,739,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,739,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(650,739,307) x common factors =1 x 1 = 1
LCM(650,739,307) = ( 650 × 739 × 307 ) / 1
LCM(650,739,307) = 147467450 / 1
LCM(650,739,307) = 147467450
Lets's calculate GCF of 758,885,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147467450/1
Therefore the LCM of Fractions 650/758,739/885,307/670 is 147467450
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 758,885,670 . The biggest common factor number is the GCF number.
So the greatest common factor 758,885,670 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 650/758, 739/885, 307/670?
Answer: LCM of Numerators as per given numbers 650/758, 739/885, 307/670 is
LCM of Numerators i.e. for 650,739,307 is 147467450
GCF of denominators i.e. for 758,885,670 is 1.
Thus, LCM of Fractions is 147467450.Finally, LCM of Fractions for 650/758, 739/885, 307/670 is 147467450.