Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 974/902, 131/451 quickly i.e. 127594/451 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 974/902, 131/451 is 127594/451.
LCM(974/902, 131/451) = 127594/451
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 974/902,131/451
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 974,131
Least Common Multiple of Numerators i.e. LCM of 974,131 is 127594.
GCF of Denominators means GCF of 902,451 as per the given fractions.
GCF of 902,451 is 451 as it is the largest common factor for these numbers.
Lets's calculate LCM of 974,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 127594
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 974,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,131) x common factors =1 x 1 = 1
LCM(974,131) = ( 974 × 131 ) / 1
LCM(974,131) = 127594 / 1
LCM(974,131) = 127594
Lets's calculate GCF of 902,451
11 | 902, 451 |
41 | 82, 41 |
2, 1 |
∴ So the GCF of the given numbers is 11 x 41 = 451
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127594/451
Therefore the LCM of Fractions 974/902,131/451 is 127594/451
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 902,451 . The biggest common factor number is the GCF number.
So the greatest common factor 902,451 is 451.
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 974/902, 131/451?
Answer: LCM of Numerators as per given numbers 974/902, 131/451 is
LCM of Numerators i.e. for 974,131 is 127594
GCF of denominators i.e. for 902,451 is 451.
Thus, LCM of Fractions is 127594/451.Finally, LCM of Fractions for 974/902, 131/451 is 127594/451.