Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 452/139, 6982/754 quickly i.e. 1577932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 452/139, 6982/754 is 1577932.
LCM(452/139, 6982/754) = 1577932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 452/139,6982/754
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 452,6982
Least Common Multiple of Numerators i.e. LCM of 452,6982 is 1577932.
GCF of Denominators means GCF of 139,754 as per the given fractions.
GCF of 139,754 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 452,6982
2 | 452, 6982 |
226, 3491 |
∴ So the LCM of the given numbers is 2 x 226 x 3491 = 1577932
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 452,6982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,6982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,6982) x common factors =2 x 1 = 2
LCM(452,6982) = ( 452 × 6982 ) / 2
LCM(452,6982) = 3155864 / 2
LCM(452,6982) = 1577932
Lets's calculate GCF of 139,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1577932/1
Therefore the LCM of Fractions 452/139,6982/754 is 1577932
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 139,754 . The biggest common factor number is the GCF number.
So the greatest common factor 139,754 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 452/139, 6982/754?
Answer: LCM of Numerators as per given numbers 452/139, 6982/754 is
LCM of Numerators i.e. for 452,6982 is 1577932
GCF of denominators i.e. for 139,754 is 1.
Thus, LCM of Fractions is 1577932.Finally, LCM of Fractions for 452/139, 6982/754 is 1577932.