Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7996/689, 2232/954 quickly i.e. 4461768/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7996/689, 2232/954 is 4461768/53.
LCM(7996/689, 2232/954) = 4461768/53
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7996/689,2232/954
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 7996,2232
Least Common Multiple of Numerators i.e. LCM of 7996,2232 is 4461768.
GCF of Denominators means GCF of 689,954 as per the given fractions.
GCF of 689,954 is 53 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7996,2232
2 | 7996, 2232 |
2 | 3998, 1116 |
1999, 558 |
∴ So the LCM of the given numbers is 2 x 2 x 1999 x 558 = 4461768
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 7996,2232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7996,2232) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(7996,2232) x common factors =4 x 1 = 4
LCM(7996,2232) = ( 7996 × 2232 ) / 4
LCM(7996,2232) = 17847072 / 4
LCM(7996,2232) = 4461768
Lets's calculate GCF of 689,954
53 | 689, 954 |
13, 18 |
∴ So the GCF of the given numbers is 53 = 53
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4461768/53
Therefore the LCM of Fractions 7996/689,2232/954 is 4461768/53
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
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
Greatest Common Factor
We found the factors 689,954 . The biggest common factor number is the GCF number.
So the greatest common factor 689,954 is 53.
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 7996/689, 2232/954?
Answer: LCM of Numerators as per given numbers 7996/689, 2232/954 is
LCM of Numerators i.e. for 7996,2232 is 4461768
GCF of denominators i.e. for 689,954 is 53.
Thus, LCM of Fractions is 4461768/53.Finally, LCM of Fractions for 7996/689, 2232/954 is 4461768/53.