Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/60, 358/14, 720/894 quickly i.e. 64440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/60, 358/14, 720/894 is 64440.
LCM(10/60, 358/14, 720/894) = 64440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/60,358/14,720/894
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 10,358,720
Least Common Multiple of Numerators i.e. LCM of 10,358,720 is 128880.
GCF of Denominators means GCF of 60,14,894 as per the given fractions.
GCF of 60,14,894 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,358,720
2 | 10, 358, 720 |
5 | 5, 179, 360 |
1, 179, 72 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 179 x 72 = 128880
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 10,358,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,358,720) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(10,358,720) x common factors =2 x 10 = 20
LCM(10,358,720) = ( 10 × 358 × 720 ) / 20
LCM(10,358,720) = 2577600 / 20
LCM(10,358,720) = 128880
Lets's calculate GCF of 60,14,894
2 | 60, 14, 894 |
30, 7, 447 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128880/2
Therefore the LCM of Fractions 10/60,358/14,720/894 is 64440
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 60,14,894 . The biggest common factor number is the GCF number.
So the greatest common factor 60,14,894 is 2.
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 10/60, 358/14, 720/894?
Answer: LCM of Numerators as per given numbers 10/60, 358/14, 720/894 is
LCM of Numerators i.e. for 10,358,720 is 128880
GCF of denominators i.e. for 60,14,894 is 2.
Thus, LCM of Fractions is 64440.Finally, LCM of Fractions for 10/60, 358/14, 720/894 is 64440.