Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/870, 140/789, 201/135 quickly i.e. 215740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/870, 140/789, 201/135 is 215740.
LCM(92/870, 140/789, 201/135) = 215740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/870,140/789,201/135
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 92,140,201
Least Common Multiple of Numerators i.e. LCM of 92,140,201 is 647220.
GCF of Denominators means GCF of 870,789,135 as per the given fractions.
GCF of 870,789,135 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,140,201
2 | 92, 140, 201 |
2 | 46, 70, 201 |
23, 35, 201 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 35 x 201 = 647220
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 92,140,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,140,201) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(92,140,201) x common factors =1 x 4 = 4
LCM(92,140,201) = ( 92 × 140 × 201 ) / 4
LCM(92,140,201) = 2588880 / 4
LCM(92,140,201) = 647220
Lets's calculate GCF of 870,789,135
3 | 870, 789, 135 |
290, 263, 45 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 647220/3
Therefore the LCM of Fractions 92/870,140/789,201/135 is 215740
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
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 870,789,135 . The biggest common factor number is the GCF number.
So the greatest common factor 870,789,135 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 92/870, 140/789, 201/135?
Answer: LCM of Numerators as per given numbers 92/870, 140/789, 201/135 is
LCM of Numerators i.e. for 92,140,201 is 647220
GCF of denominators i.e. for 870,789,135 is 3.
Thus, LCM of Fractions is 215740.Finally, LCM of Fractions for 92/870, 140/789, 201/135 is 215740.