Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 270/732, 778/261 quickly i.e. 35010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 270/732, 778/261 is 35010.
LCM(270/732, 778/261) = 35010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 270/732,778/261
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 270,778
Least Common Multiple of Numerators i.e. LCM of 270,778 is 105030.
GCF of Denominators means GCF of 732,261 as per the given fractions.
GCF of 732,261 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 270,778
2 | 270, 778 |
135, 389 |
∴ So the LCM of the given numbers is 2 x 135 x 389 = 105030
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 270,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,778) x common factors =2 x 1 = 2
LCM(270,778) = ( 270 × 778 ) / 2
LCM(270,778) = 210060 / 2
LCM(270,778) = 105030
Lets's calculate GCF of 732,261
3 | 732, 261 |
244, 87 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105030/3
Therefore the LCM of Fractions 270/732,778/261 is 35010
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Greatest Common Factor
We found the factors 732,261 . The biggest common factor number is the GCF number.
So the greatest common factor 732,261 is 3.
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 270/732, 778/261?
Answer: LCM of Numerators as per given numbers 270/732, 778/261 is
LCM of Numerators i.e. for 270,778 is 105030
GCF of denominators i.e. for 732,261 is 3.
Thus, LCM of Fractions is 35010.Finally, LCM of Fractions for 270/732, 778/261 is 35010.