Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/954, 953/363, 412/157 quickly i.e. 31803516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/954, 953/363, 412/157 is 31803516.
LCM(81/954, 953/363, 412/157) = 31803516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/954,953/363,412/157
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 81,953,412
Least Common Multiple of Numerators i.e. LCM of 81,953,412 is 31803516.
GCF of Denominators means GCF of 954,363,157 as per the given fractions.
GCF of 954,363,157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,953,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 31803516
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 81,953,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,953,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,953,412) x common factors =1 x 1 = 1
LCM(81,953,412) = ( 81 × 953 × 412 ) / 1
LCM(81,953,412) = 31803516 / 1
LCM(81,953,412) = 31803516
Lets's calculate GCF of 954,363,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31803516/1
Therefore the LCM of Fractions 81/954,953/363,412/157 is 31803516
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Greatest Common Factor
We found the factors 954,363,157 . The biggest common factor number is the GCF number.
So the greatest common factor 954,363,157 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 81/954, 953/363, 412/157?
Answer: LCM of Numerators as per given numbers 81/954, 953/363, 412/157 is
LCM of Numerators i.e. for 81,953,412 is 31803516
GCF of denominators i.e. for 954,363,157 is 1.
Thus, LCM of Fractions is 31803516.Finally, LCM of Fractions for 81/954, 953/363, 412/157 is 31803516.