Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 836/453, 6898/604 quickly i.e. 2883364/151 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 836/453, 6898/604 is 2883364/151.
LCM(836/453, 6898/604) = 2883364/151
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 836/453,6898/604
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 836,6898
Least Common Multiple of Numerators i.e. LCM of 836,6898 is 2883364.
GCF of Denominators means GCF of 453,604 as per the given fractions.
GCF of 453,604 is 151 as it is the largest common factor for these numbers.
Lets's calculate LCM of 836,6898
2 | 836, 6898 |
418, 3449 |
∴ So the LCM of the given numbers is 2 x 418 x 3449 = 2883364
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 836,6898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,6898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(836,6898) x common factors =2 x 1 = 2
LCM(836,6898) = ( 836 × 6898 ) / 2
LCM(836,6898) = 5766728 / 2
LCM(836,6898) = 2883364
Lets's calculate GCF of 453,604
151 | 453, 604 |
3, 4 |
∴ So the GCF of the given numbers is 151 = 151
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2883364/151
Therefore the LCM of Fractions 836/453,6898/604 is 2883364/151
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Greatest Common Factor
We found the factors 453,604 . The biggest common factor number is the GCF number.
So the greatest common factor 453,604 is 151.
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 836/453, 6898/604?
Answer: LCM of Numerators as per given numbers 836/453, 6898/604 is
LCM of Numerators i.e. for 836,6898 is 2883364
GCF of denominators i.e. for 453,604 is 151.
Thus, LCM of Fractions is 2883364/151.Finally, LCM of Fractions for 836/453, 6898/604 is 2883364/151.