Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/532, 60/961, 224/870 quickly i.e. 16800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/532, 60/961, 224/870 is 16800.
LCM(75/532, 60/961, 224/870) = 16800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/532,60/961,224/870
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 75,60,224
Least Common Multiple of Numerators i.e. LCM of 75,60,224 is 16800.
GCF of Denominators means GCF of 532,961,870 as per the given fractions.
GCF of 532,961,870 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,60,224
2 | 75, 60, 224 |
2 | 75, 30, 112 |
3 | 75, 15, 56 |
5 | 25, 5, 56 |
1, 5, 56 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 5 x 56 = 16800
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 75,60,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,60,224) = 1
common factors(in case of two or more numbers have common factors) = 60
GCF(75,60,224) x common factors =1 x 60 = 60
LCM(75,60,224) = ( 75 × 60 × 224 ) / 60
LCM(75,60,224) = 1008000 / 60
LCM(75,60,224) = 16800
Lets's calculate GCF of 532,961,870
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16800/1
Therefore the LCM of Fractions 75/532,60/961,224/870 is 16800
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 532,961,870 . The biggest common factor number is the GCF number.
So the greatest common factor 532,961,870 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 75/532, 60/961, 224/870?
Answer: LCM of Numerators as per given numbers 75/532, 60/961, 224/870 is
LCM of Numerators i.e. for 75,60,224 is 16800
GCF of denominators i.e. for 532,961,870 is 1.
Thus, LCM of Fractions is 16800.Finally, LCM of Fractions for 75/532, 60/961, 224/870 is 16800.