Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/927, 45/372 quickly i.e. 210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/927, 45/372 is 210.
LCM(70/927, 45/372) = 210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/927,45/372
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 70,45
Least Common Multiple of Numerators i.e. LCM of 70,45 is 630.
GCF of Denominators means GCF of 927,372 as per the given fractions.
GCF of 927,372 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,45
5 | 70, 45 |
14, 9 |
∴ So the LCM of the given numbers is 5 x 14 x 9 = 630
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 70,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,45) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(70,45) x common factors =5 x 1 = 5
LCM(70,45) = ( 70 × 45 ) / 5
LCM(70,45) = 3150 / 5
LCM(70,45) = 630
Lets's calculate GCF of 927,372
3 | 927, 372 |
309, 124 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630/3
Therefore the LCM of Fractions 70/927,45/372 is 210
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 927,372 . The biggest common factor number is the GCF number.
So the greatest common factor 927,372 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 70/927, 45/372?
Answer: LCM of Numerators as per given numbers 70/927, 45/372 is
LCM of Numerators i.e. for 70,45 is 630
GCF of denominators i.e. for 927,372 is 3.
Thus, LCM of Fractions is 210.Finally, LCM of Fractions for 70/927, 45/372 is 210.