Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 646/737, 1960/698 quickly i.e. 633080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 646/737, 1960/698 is 633080.
LCM(646/737, 1960/698) = 633080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 646/737,1960/698
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 646,1960
Least Common Multiple of Numerators i.e. LCM of 646,1960 is 633080.
GCF of Denominators means GCF of 737,698 as per the given fractions.
GCF of 737,698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 646,1960
2 | 646, 1960 |
323, 980 |
∴ So the LCM of the given numbers is 2 x 323 x 980 = 633080
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 646,1960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,1960) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,1960) x common factors =2 x 1 = 2
LCM(646,1960) = ( 646 × 1960 ) / 2
LCM(646,1960) = 1266160 / 2
LCM(646,1960) = 633080
Lets's calculate GCF of 737,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 633080/1
Therefore the LCM of Fractions 646/737,1960/698 is 633080
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 737,698 . The biggest common factor number is the GCF number.
So the greatest common factor 737,698 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 646/737, 1960/698?
Answer: LCM of Numerators as per given numbers 646/737, 1960/698 is
LCM of Numerators i.e. for 646,1960 is 633080
GCF of denominators i.e. for 737,698 is 1.
Thus, LCM of Fractions is 633080.Finally, LCM of Fractions for 646/737, 1960/698 is 633080.