Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 870/35, 372/1403 quickly i.e. 53940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 870/35, 372/1403 is 53940.
LCM(870/35, 372/1403) = 53940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 870/35,372/1403
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 870,372
Least Common Multiple of Numerators i.e. LCM of 870,372 is 53940.
GCF of Denominators means GCF of 35,1403 as per the given fractions.
GCF of 35,1403 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 870,372
2 | 870, 372 |
3 | 435, 186 |
145, 62 |
∴ So the LCM of the given numbers is 2 x 3 x 145 x 62 = 53940
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 870,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,372) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(870,372) x common factors =6 x 1 = 6
LCM(870,372) = ( 870 × 372 ) / 6
LCM(870,372) = 323640 / 6
LCM(870,372) = 53940
Lets's calculate GCF of 35,1403
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53940/1
Therefore the LCM of Fractions 870/35,372/1403 is 53940
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 1403
List of positive integer factors of 1403 that divides 1403 without a remainder.
1,23,61,1403
Greatest Common Factor
We found the factors 35,1403 . The biggest common factor number is the GCF number.
So the greatest common factor 35,1403 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 870/35, 372/1403?
Answer: LCM of Numerators as per given numbers 870/35, 372/1403 is
LCM of Numerators i.e. for 870,372 is 53940
GCF of denominators i.e. for 35,1403 is 1.
Thus, LCM of Fractions is 53940.Finally, LCM of Fractions for 870/35, 372/1403 is 53940.