Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/91, 98/97, 407/624 quickly i.e. 757834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/91, 98/97, 407/624 is 757834.
LCM(19/91, 98/97, 407/624) = 757834
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/91,98/97,407/624
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 19,98,407
Least Common Multiple of Numerators i.e. LCM of 19,98,407 is 757834.
GCF of Denominators means GCF of 91,97,624 as per the given fractions.
GCF of 91,97,624 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,98,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 757834
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 19,98,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,98,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,98,407) x common factors =1 x 1 = 1
LCM(19,98,407) = ( 19 × 98 × 407 ) / 1
LCM(19,98,407) = 757834 / 1
LCM(19,98,407) = 757834
Lets's calculate GCF of 91,97,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 757834/1
Therefore the LCM of Fractions 19/91,98/97,407/624 is 757834
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 91,97,624 . The biggest common factor number is the GCF number.
So the greatest common factor 91,97,624 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 19/91, 98/97, 407/624?
Answer: LCM of Numerators as per given numbers 19/91, 98/97, 407/624 is
LCM of Numerators i.e. for 19,98,407 is 757834
GCF of denominators i.e. for 91,97,624 is 1.
Thus, LCM of Fractions is 757834.Finally, LCM of Fractions for 19/91, 98/97, 407/624 is 757834.