Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 742/91, 915/1470 quickly i.e. 96990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 742/91, 915/1470 is 96990.
LCM(742/91, 915/1470) = 96990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 742/91,915/1470
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 742,915
Least Common Multiple of Numerators i.e. LCM of 742,915 is 678930.
GCF of Denominators means GCF of 91,1470 as per the given fractions.
GCF of 91,1470 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 742,915
Given numbers has no common factors except 1. So, there LCM is their product i.e 678930
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 742,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,915) x common factors =1 x 1 = 1
LCM(742,915) = ( 742 × 915 ) / 1
LCM(742,915) = 678930 / 1
LCM(742,915) = 678930
Lets's calculate GCF of 91,1470
7 | 91, 1470 |
13, 210 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 678930/7
Therefore the LCM of Fractions 742/91,915/1470 is 96990
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 1470
List of positive integer factors of 1470 that divides 1470 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470
Greatest Common Factor
We found the factors 91,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 91,1470 is 7.
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 742/91, 915/1470?
Answer: LCM of Numerators as per given numbers 742/91, 915/1470 is
LCM of Numerators i.e. for 742,915 is 678930
GCF of denominators i.e. for 91,1470 is 7.
Thus, LCM of Fractions is 96990.Finally, LCM of Fractions for 742/91, 915/1470 is 96990.