Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 837/46, 934/5322 quickly i.e. 390879 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 837/46, 934/5322 is 390879.
LCM(837/46, 934/5322) = 390879
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 837/46,934/5322
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 837,934
Least Common Multiple of Numerators i.e. LCM of 837,934 is 781758.
GCF of Denominators means GCF of 46,5322 as per the given fractions.
GCF of 46,5322 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 837,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 781758
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 837,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,934) x common factors =1 x 1 = 1
LCM(837,934) = ( 837 × 934 ) / 1
LCM(837,934) = 781758 / 1
LCM(837,934) = 781758
Lets's calculate GCF of 46,5322
2 | 46, 5322 |
23, 2661 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 781758/2
Therefore the LCM of Fractions 837/46,934/5322 is 390879
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 5322
List of positive integer factors of 5322 that divides 5322 without a remainder.
1,2,3,6,887,1774,2661,5322
Greatest Common Factor
We found the factors 46,5322 . The biggest common factor number is the GCF number.
So the greatest common factor 46,5322 is 2.
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 837/46, 934/5322?
Answer: LCM of Numerators as per given numbers 837/46, 934/5322 is
LCM of Numerators i.e. for 837,934 is 781758
GCF of denominators i.e. for 46,5322 is 2.
Thus, LCM of Fractions is 390879.Finally, LCM of Fractions for 837/46, 934/5322 is 390879.