Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/35, 85/78, 689/546 quickly i.e. 4919460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/35, 85/78, 689/546 is 4919460.
LCM(84/35, 85/78, 689/546) = 4919460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/35,85/78,689/546
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 84,85,689
Least Common Multiple of Numerators i.e. LCM of 84,85,689 is 4919460.
GCF of Denominators means GCF of 35,78,546 as per the given fractions.
GCF of 35,78,546 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,85,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 4919460
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 84,85,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,85,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,85,689) x common factors =1 x 1 = 1
LCM(84,85,689) = ( 84 × 85 × 689 ) / 1
LCM(84,85,689) = 4919460 / 1
LCM(84,85,689) = 4919460
Lets's calculate GCF of 35,78,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4919460/1
Therefore the LCM of Fractions 84/35,85/78,689/546 is 4919460
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 35,78,546 . The biggest common factor number is the GCF number.
So the greatest common factor 35,78,546 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 84/35, 85/78, 689/546?
Answer: LCM of Numerators as per given numbers 84/35, 85/78, 689/546 is
LCM of Numerators i.e. for 84,85,689 is 4919460
GCF of denominators i.e. for 35,78,546 is 1.
Thus, LCM of Fractions is 4919460.Finally, LCM of Fractions for 84/35, 85/78, 689/546 is 4919460.