Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7045/140, 4556/862 quickly i.e. 16048510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7045/140, 4556/862 is 16048510.
LCM(7045/140, 4556/862) = 16048510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7045/140,4556/862
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 7045,4556
Least Common Multiple of Numerators i.e. LCM of 7045,4556 is 32097020.
GCF of Denominators means GCF of 140,862 as per the given fractions.
GCF of 140,862 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7045,4556
Given numbers has no common factors except 1. So, there LCM is their product i.e 32097020
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 7045,4556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7045,4556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7045,4556) x common factors =1 x 1 = 1
LCM(7045,4556) = ( 7045 × 4556 ) / 1
LCM(7045,4556) = 32097020 / 1
LCM(7045,4556) = 32097020
Lets's calculate GCF of 140,862
2 | 140, 862 |
70, 431 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32097020/2
Therefore the LCM of Fractions 7045/140,4556/862 is 16048510
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 140,862 . The biggest common factor number is the GCF number.
So the greatest common factor 140,862 is 2.
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 7045/140, 4556/862?
Answer: LCM of Numerators as per given numbers 7045/140, 4556/862 is
LCM of Numerators i.e. for 7045,4556 is 32097020
GCF of denominators i.e. for 140,862 is 2.
Thus, LCM of Fractions is 16048510.Finally, LCM of Fractions for 7045/140, 4556/862 is 16048510.