Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 177/753, 1642/354 quickly i.e. 96878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 177/753, 1642/354 is 96878.
LCM(177/753, 1642/354) = 96878
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 177/753,1642/354
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 177,1642
Least Common Multiple of Numerators i.e. LCM of 177,1642 is 290634.
GCF of Denominators means GCF of 753,354 as per the given fractions.
GCF of 753,354 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 177,1642
Given numbers has no common factors except 1. So, there LCM is their product i.e 290634
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 177,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,1642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,1642) x common factors =1 x 1 = 1
LCM(177,1642) = ( 177 × 1642 ) / 1
LCM(177,1642) = 290634 / 1
LCM(177,1642) = 290634
Lets's calculate GCF of 753,354
3 | 753, 354 |
251, 118 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290634/3
Therefore the LCM of Fractions 177/753,1642/354 is 96878
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 753,354 . The biggest common factor number is the GCF number.
So the greatest common factor 753,354 is 3.
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 177/753, 1642/354?
Answer: LCM of Numerators as per given numbers 177/753, 1642/354 is
LCM of Numerators i.e. for 177,1642 is 290634
GCF of denominators i.e. for 753,354 is 3.
Thus, LCM of Fractions is 96878.Finally, LCM of Fractions for 177/753, 1642/354 is 96878.