Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/742, 136/549, 666/193 quickly i.e. 226440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/742, 136/549, 666/193 is 226440.
LCM(90/742, 136/549, 666/193) = 226440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/742,136/549,666/193
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 90,136,666
Least Common Multiple of Numerators i.e. LCM of 90,136,666 is 226440.
GCF of Denominators means GCF of 742,549,193 as per the given fractions.
GCF of 742,549,193 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,136,666
2 | 90, 136, 666 |
3 | 45, 68, 333 |
3 | 15, 68, 111 |
5, 68, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 68 x 37 = 226440
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 90,136,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,136,666) = 2
common factors(in case of two or more numbers have common factors) = 18
GCF(90,136,666) x common factors =2 x 18 = 36
LCM(90,136,666) = ( 90 × 136 × 666 ) / 36
LCM(90,136,666) = 8151840 / 36
LCM(90,136,666) = 226440
Lets's calculate GCF of 742,549,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226440/1
Therefore the LCM of Fractions 90/742,136/549,666/193 is 226440
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Greatest Common Factor
We found the factors 742,549,193 . The biggest common factor number is the GCF number.
So the greatest common factor 742,549,193 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 90/742, 136/549, 666/193?
Answer: LCM of Numerators as per given numbers 90/742, 136/549, 666/193 is
LCM of Numerators i.e. for 90,136,666 is 226440
GCF of denominators i.e. for 742,549,193 is 1.
Thus, LCM of Fractions is 226440.Finally, LCM of Fractions for 90/742, 136/549, 666/193 is 226440.