Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 836/152, 880/279 quickly i.e. 16720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 836/152, 880/279 is 16720.
LCM(836/152, 880/279) = 16720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 836/152,880/279
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 836,880
Least Common Multiple of Numerators i.e. LCM of 836,880 is 16720.
GCF of Denominators means GCF of 152,279 as per the given fractions.
GCF of 152,279 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 836,880
2 | 836, 880 |
2 | 418, 440 |
11 | 209, 220 |
19, 20 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 20 = 16720
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 836,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,880) = 44
common factors(in case of two or more numbers have common factors) = 1
GCF(836,880) x common factors =44 x 1 = 44
LCM(836,880) = ( 836 × 880 ) / 44
LCM(836,880) = 735680 / 44
LCM(836,880) = 16720
Lets's calculate GCF of 152,279
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16720/1
Therefore the LCM of Fractions 836/152,880/279 is 16720
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Greatest Common Factor
We found the factors 152,279 . The biggest common factor number is the GCF number.
So the greatest common factor 152,279 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 836/152, 880/279?
Answer: LCM of Numerators as per given numbers 836/152, 880/279 is
LCM of Numerators i.e. for 836,880 is 16720
GCF of denominators i.e. for 152,279 is 1.
Thus, LCM of Fractions is 16720.Finally, LCM of Fractions for 836/152, 880/279 is 16720.