Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/670, 646/848, 544/665 quickly i.e. 217056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/670, 646/848, 544/665 is 217056.
LCM(84/670, 646/848, 544/665) = 217056
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/670,646/848,544/665
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 84,646,544
Least Common Multiple of Numerators i.e. LCM of 84,646,544 is 217056.
GCF of Denominators means GCF of 670,848,665 as per the given fractions.
GCF of 670,848,665 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,646,544
2 | 84, 646, 544 |
2 | 42, 323, 272 |
17 | 21, 323, 136 |
21, 19, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 21 x 19 x 8 = 217056
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 84,646,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,646,544) = 2
common factors(in case of two or more numbers have common factors) = 68
GCF(84,646,544) x common factors =2 x 68 = 136
LCM(84,646,544) = ( 84 × 646 × 544 ) / 136
LCM(84,646,544) = 29519616 / 136
LCM(84,646,544) = 217056
Lets's calculate GCF of 670,848,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217056/1
Therefore the LCM of Fractions 84/670,646/848,544/665 is 217056
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 670,848,665 . The biggest common factor number is the GCF number.
So the greatest common factor 670,848,665 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 84/670, 646/848, 544/665?
Answer: LCM of Numerators as per given numbers 84/670, 646/848, 544/665 is
LCM of Numerators i.e. for 84,646,544 is 217056
GCF of denominators i.e. for 670,848,665 is 1.
Thus, LCM of Fractions is 217056.Finally, LCM of Fractions for 84/670, 646/848, 544/665 is 217056.