Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 802/74, 350/4699 quickly i.e. 140350/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 802/74, 350/4699 is 140350/37.
LCM(802/74, 350/4699) = 140350/37
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 802/74,350/4699
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 802,350
Least Common Multiple of Numerators i.e. LCM of 802,350 is 140350.
GCF of Denominators means GCF of 74,4699 as per the given fractions.
GCF of 74,4699 is 37 as it is the largest common factor for these numbers.
Lets's calculate LCM of 802,350
2 | 802, 350 |
401, 175 |
∴ So the LCM of the given numbers is 2 x 401 x 175 = 140350
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 802,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,350) x common factors =2 x 1 = 2
LCM(802,350) = ( 802 × 350 ) / 2
LCM(802,350) = 280700 / 2
LCM(802,350) = 140350
Lets's calculate GCF of 74,4699
37 | 74, 4699 |
2, 127 |
∴ So the GCF of the given numbers is 37 = 37
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140350/37
Therefore the LCM of Fractions 802/74,350/4699 is 140350/37
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 4699
List of positive integer factors of 4699 that divides 4699 without a remainder.
1,37,127,4699
Greatest Common Factor
We found the factors 74,4699 . The biggest common factor number is the GCF number.
So the greatest common factor 74,4699 is 37.
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 802/74, 350/4699?
Answer: LCM of Numerators as per given numbers 802/74, 350/4699 is
LCM of Numerators i.e. for 802,350 is 140350
GCF of denominators i.e. for 74,4699 is 37.
Thus, LCM of Fractions is 140350/37.Finally, LCM of Fractions for 802/74, 350/4699 is 140350/37.