Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/846, 49/523, 49/599 quickly i.e. 294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/846, 49/523, 49/599 is 294.
LCM(6/846, 49/523, 49/599) = 294
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/846,49/523,49/599
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 6,49,49
Least Common Multiple of Numerators i.e. LCM of 6,49,49 is 294.
GCF of Denominators means GCF of 846,523,599 as per the given fractions.
GCF of 846,523,599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,49,49
7 | 6, 49, 49 |
7 | 6, 7, 7 |
6, 1, 1 |
∴ So the LCM of the given numbers is 7 x 7 x 6 x 1 x 1 = 294
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 6,49,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,49,49) = 1
common factors(in case of two or more numbers have common factors) = 49
GCF(6,49,49) x common factors =1 x 49 = 49
LCM(6,49,49) = ( 6 × 49 × 49 ) / 49
LCM(6,49,49) = 14406 / 49
LCM(6,49,49) = 294
Lets's calculate GCF of 846,523,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294/1
Therefore the LCM of Fractions 6/846,49/523,49/599 is 294
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Greatest Common Factor
We found the factors 846,523,599 . The biggest common factor number is the GCF number.
So the greatest common factor 846,523,599 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 6/846, 49/523, 49/599?
Answer: LCM of Numerators as per given numbers 6/846, 49/523, 49/599 is
LCM of Numerators i.e. for 6,49,49 is 294
GCF of denominators i.e. for 846,523,599 is 1.
Thus, LCM of Fractions is 294.Finally, LCM of Fractions for 6/846, 49/523, 49/599 is 294.