Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/74, 17/62, 72/43, 49/813 quickly i.e. 1139544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/74, 17/62, 72/43, 49/813 is 1139544.
LCM(19/74, 17/62, 72/43, 49/813) = 1139544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/74,17/62,72/43,49/813
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 19,17,72,49
Least Common Multiple of Numerators i.e. LCM of 19,17,72,49 is 1139544.
GCF of Denominators means GCF of 74,62,43,813 as per the given fractions.
GCF of 74,62,43,813 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,17,72,49
Given numbers has no common factors except 1. So, there LCM is their product i.e 1139544
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 19,17,72,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,17,72,49) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,17,72,49) x common factors =1 x 1 = 1
LCM(19,17,72,49) = ( 19 × 17 × 72 × 49 ) / 1
LCM(19,17,72,49) = 1139544 / 1
LCM(19,17,72,49) = 1139544
Lets's calculate GCF of 74,62,43,813
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1139544/1
Therefore the LCM of Fractions 19/74,17/62,72/43,49/813 is 1139544
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Greatest Common Factor
We found the factors 74,62,43,813 . The biggest common factor number is the GCF number.
So the greatest common factor 74,62,43,813 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 19/74, 17/62, 72/43, 49/813?
Answer: LCM of Numerators as per given numbers 19/74, 17/62, 72/43, 49/813 is
LCM of Numerators i.e. for 19,17,72,49 is 1139544
GCF of denominators i.e. for 74,62,43,813 is 1.
Thus, LCM of Fractions is 1139544.Finally, LCM of Fractions for 19/74, 17/62, 72/43, 49/813 is 1139544.