Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/351, 80/385, 747/375 quickly i.e. 418320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/351, 80/385, 747/375 is 418320.
LCM(84/351, 80/385, 747/375) = 418320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/351,80/385,747/375
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 84,80,747
Least Common Multiple of Numerators i.e. LCM of 84,80,747 is 418320.
GCF of Denominators means GCF of 351,385,375 as per the given fractions.
GCF of 351,385,375 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,80,747
2 | 84, 80, 747 |
2 | 42, 40, 747 |
3 | 21, 20, 747 |
7, 20, 249 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 20 x 249 = 418320
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 84,80,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,80,747) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(84,80,747) x common factors =1 x 12 = 12
LCM(84,80,747) = ( 84 × 80 × 747 ) / 12
LCM(84,80,747) = 5019840 / 12
LCM(84,80,747) = 418320
Lets's calculate GCF of 351,385,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418320/1
Therefore the LCM of Fractions 84/351,80/385,747/375 is 418320
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 351,385,375 . The biggest common factor number is the GCF number.
So the greatest common factor 351,385,375 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 84/351, 80/385, 747/375?
Answer: LCM of Numerators as per given numbers 84/351, 80/385, 747/375 is
LCM of Numerators i.e. for 84,80,747 is 418320
GCF of denominators i.e. for 351,385,375 is 1.
Thus, LCM of Fractions is 418320.Finally, LCM of Fractions for 84/351, 80/385, 747/375 is 418320.