Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 937/822, 6719/5789 quickly i.e. 6295703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 937/822, 6719/5789 is 6295703.
LCM(937/822, 6719/5789) = 6295703
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 937/822,6719/5789
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 937,6719
Least Common Multiple of Numerators i.e. LCM of 937,6719 is 6295703.
GCF of Denominators means GCF of 822,5789 as per the given fractions.
GCF of 822,5789 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 937,6719
Given numbers has no common factors except 1. So, there LCM is their product i.e 6295703
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 937,6719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,6719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,6719) x common factors =1 x 1 = 1
LCM(937,6719) = ( 937 × 6719 ) / 1
LCM(937,6719) = 6295703 / 1
LCM(937,6719) = 6295703
Lets's calculate GCF of 822,5789
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6295703/1
Therefore the LCM of Fractions 937/822,6719/5789 is 6295703
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 5789
List of positive integer factors of 5789 that divides 5789 without a remainder.
1,7,827,5789
Greatest Common Factor
We found the factors 822,5789 . The biggest common factor number is the GCF number.
So the greatest common factor 822,5789 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 937/822, 6719/5789?
Answer: LCM of Numerators as per given numbers 937/822, 6719/5789 is
LCM of Numerators i.e. for 937,6719 is 6295703
GCF of denominators i.e. for 822,5789 is 1.
Thus, LCM of Fractions is 6295703.Finally, LCM of Fractions for 937/822, 6719/5789 is 6295703.