Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/75, 703/38, 619/780 quickly i.e. 18276594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/75, 703/38, 619/780 is 18276594.
LCM(42/75, 703/38, 619/780) = 18276594
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/75,703/38,619/780
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 42,703,619
Least Common Multiple of Numerators i.e. LCM of 42,703,619 is 18276594.
GCF of Denominators means GCF of 75,38,780 as per the given fractions.
GCF of 75,38,780 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,703,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 18276594
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 42,703,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,703,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,703,619) x common factors =1 x 1 = 1
LCM(42,703,619) = ( 42 × 703 × 619 ) / 1
LCM(42,703,619) = 18276594 / 1
LCM(42,703,619) = 18276594
Lets's calculate GCF of 75,38,780
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18276594/1
Therefore the LCM of Fractions 42/75,703/38,619/780 is 18276594
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 75,38,780 . The biggest common factor number is the GCF number.
So the greatest common factor 75,38,780 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 42/75, 703/38, 619/780?
Answer: LCM of Numerators as per given numbers 42/75, 703/38, 619/780 is
LCM of Numerators i.e. for 42,703,619 is 18276594
GCF of denominators i.e. for 75,38,780 is 1.
Thus, LCM of Fractions is 18276594.Finally, LCM of Fractions for 42/75, 703/38, 619/780 is 18276594.