Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1732/357, 2224/751 quickly i.e. 962992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1732/357, 2224/751 is 962992.
LCM(1732/357, 2224/751) = 962992
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1732/357,2224/751
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 1732,2224
Least Common Multiple of Numerators i.e. LCM of 1732,2224 is 962992.
GCF of Denominators means GCF of 357,751 as per the given fractions.
GCF of 357,751 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1732,2224
2 | 1732, 2224 |
2 | 866, 1112 |
433, 556 |
∴ So the LCM of the given numbers is 2 x 2 x 433 x 556 = 962992
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 1732,2224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1732,2224) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(1732,2224) x common factors =4 x 1 = 4
LCM(1732,2224) = ( 1732 × 2224 ) / 4
LCM(1732,2224) = 3851968 / 4
LCM(1732,2224) = 962992
Lets's calculate GCF of 357,751
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 962992/1
Therefore the LCM of Fractions 1732/357,2224/751 is 962992
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Greatest Common Factor
We found the factors 357,751 . The biggest common factor number is the GCF number.
So the greatest common factor 357,751 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 1732/357, 2224/751?
Answer: LCM of Numerators as per given numbers 1732/357, 2224/751 is
LCM of Numerators i.e. for 1732,2224 is 962992
GCF of denominators i.e. for 357,751 is 1.
Thus, LCM of Fractions is 962992.Finally, LCM of Fractions for 1732/357, 2224/751 is 962992.