Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/243, 90/429, 767/604 quickly i.e. 69030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/243, 90/429, 767/604 is 69030.
LCM(30/243, 90/429, 767/604) = 69030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/243,90/429,767/604
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 30,90,767
Least Common Multiple of Numerators i.e. LCM of 30,90,767 is 69030.
GCF of Denominators means GCF of 243,429,604 as per the given fractions.
GCF of 243,429,604 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,90,767
2 | 30, 90, 767 |
3 | 15, 45, 767 |
5 | 5, 15, 767 |
1, 3, 767 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 767 = 69030
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 30,90,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,90,767) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(30,90,767) x common factors =1 x 30 = 30
LCM(30,90,767) = ( 30 × 90 × 767 ) / 30
LCM(30,90,767) = 2070900 / 30
LCM(30,90,767) = 69030
Lets's calculate GCF of 243,429,604
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69030/1
Therefore the LCM of Fractions 30/243,90/429,767/604 is 69030
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Greatest Common Factor
We found the factors 243,429,604 . The biggest common factor number is the GCF number.
So the greatest common factor 243,429,604 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 30/243, 90/429, 767/604?
Answer: LCM of Numerators as per given numbers 30/243, 90/429, 767/604 is
LCM of Numerators i.e. for 30,90,767 is 69030
GCF of denominators i.e. for 243,429,604 is 1.
Thus, LCM of Fractions is 69030.Finally, LCM of Fractions for 30/243, 90/429, 767/604 is 69030.