Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/754, 88/275, 755/785 quickly i.e. 1395240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/754, 88/275, 755/785 is 1395240.
LCM(42/754, 88/275, 755/785) = 1395240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/754,88/275,755/785
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 42,88,755
Least Common Multiple of Numerators i.e. LCM of 42,88,755 is 1395240.
GCF of Denominators means GCF of 754,275,785 as per the given fractions.
GCF of 754,275,785 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,88,755
2 | 42, 88, 755 |
21, 44, 755 |
∴ So the LCM of the given numbers is 2 x 21 x 44 x 755 = 1395240
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 42,88,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,88,755) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(42,88,755) x common factors =1 x 2 = 2
LCM(42,88,755) = ( 42 × 88 × 755 ) / 2
LCM(42,88,755) = 2790480 / 2
LCM(42,88,755) = 1395240
Lets's calculate GCF of 754,275,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1395240/1
Therefore the LCM of Fractions 42/754,88/275,755/785 is 1395240
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 754,275,785 . The biggest common factor number is the GCF number.
So the greatest common factor 754,275,785 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 42/754, 88/275, 755/785?
Answer: LCM of Numerators as per given numbers 42/754, 88/275, 755/785 is
LCM of Numerators i.e. for 42,88,755 is 1395240
GCF of denominators i.e. for 754,275,785 is 1.
Thus, LCM of Fractions is 1395240.Finally, LCM of Fractions for 42/754, 88/275, 755/785 is 1395240.