Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/75, 175/36, 860/672 quickly i.e. 391300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/75, 175/36, 860/672 is 391300.
LCM(78/75, 175/36, 860/672) = 391300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/75,175/36,860/672
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 78,175,860
Least Common Multiple of Numerators i.e. LCM of 78,175,860 is 1173900.
GCF of Denominators means GCF of 75,36,672 as per the given fractions.
GCF of 75,36,672 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,175,860
2 | 78, 175, 860 |
5 | 39, 175, 430 |
39, 35, 86 |
∴ So the LCM of the given numbers is 2 x 5 x 39 x 35 x 86 = 1173900
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 78,175,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,175,860) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(78,175,860) x common factors =1 x 10 = 10
LCM(78,175,860) = ( 78 × 175 × 860 ) / 10
LCM(78,175,860) = 11739000 / 10
LCM(78,175,860) = 1173900
Lets's calculate GCF of 75,36,672
3 | 75, 36, 672 |
25, 12, 224 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1173900/3
Therefore the LCM of Fractions 78/75,175/36,860/672 is 391300
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 75,36,672 . The biggest common factor number is the GCF number.
So the greatest common factor 75,36,672 is 3.
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 78/75, 175/36, 860/672?
Answer: LCM of Numerators as per given numbers 78/75, 175/36, 860/672 is
LCM of Numerators i.e. for 78,175,860 is 1173900
GCF of denominators i.e. for 75,36,672 is 3.
Thus, LCM of Fractions is 391300.Finally, LCM of Fractions for 78/75, 175/36, 860/672 is 391300.