Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/740, 1576/4014 quickly i.e. 35460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/740, 1576/4014 is 35460.
LCM(90/740, 1576/4014) = 35460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/740,1576/4014
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 90,1576
Least Common Multiple of Numerators i.e. LCM of 90,1576 is 70920.
GCF of Denominators means GCF of 740,4014 as per the given fractions.
GCF of 740,4014 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,1576
2 | 90, 1576 |
45, 788 |
∴ So the LCM of the given numbers is 2 x 45 x 788 = 70920
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 90,1576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,1576) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(90,1576) x common factors =2 x 1 = 2
LCM(90,1576) = ( 90 × 1576 ) / 2
LCM(90,1576) = 141840 / 2
LCM(90,1576) = 70920
Lets's calculate GCF of 740,4014
2 | 740, 4014 |
370, 2007 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70920/2
Therefore the LCM of Fractions 90/740,1576/4014 is 35460
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 4014
List of positive integer factors of 4014 that divides 4014 without a remainder.
1,2,3,6,9,18,223,446,669,1338,2007,4014
Greatest Common Factor
We found the factors 740,4014 . The biggest common factor number is the GCF number.
So the greatest common factor 740,4014 is 2.
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 90/740, 1576/4014?
Answer: LCM of Numerators as per given numbers 90/740, 1576/4014 is
LCM of Numerators i.e. for 90,1576 is 70920
GCF of denominators i.e. for 740,4014 is 2.
Thus, LCM of Fractions is 35460.Finally, LCM of Fractions for 90/740, 1576/4014 is 35460.