Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/356, 27/599, 748/823 quickly i.e. 100980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/356, 27/599, 748/823 is 100980.
LCM(10/356, 27/599, 748/823) = 100980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/356,27/599,748/823
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 10,27,748
Least Common Multiple of Numerators i.e. LCM of 10,27,748 is 100980.
GCF of Denominators means GCF of 356,599,823 as per the given fractions.
GCF of 356,599,823 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,27,748
2 | 10, 27, 748 |
5, 27, 374 |
∴ So the LCM of the given numbers is 2 x 5 x 27 x 374 = 100980
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 10,27,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,27,748) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(10,27,748) x common factors =1 x 2 = 2
LCM(10,27,748) = ( 10 × 27 × 748 ) / 2
LCM(10,27,748) = 201960 / 2
LCM(10,27,748) = 100980
Lets's calculate GCF of 356,599,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100980/1
Therefore the LCM of Fractions 10/356,27/599,748/823 is 100980
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Greatest Common Factor
We found the factors 356,599,823 . The biggest common factor number is the GCF number.
So the greatest common factor 356,599,823 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 10/356, 27/599, 748/823?
Answer: LCM of Numerators as per given numbers 10/356, 27/599, 748/823 is
LCM of Numerators i.e. for 10,27,748 is 100980
GCF of denominators i.e. for 356,599,823 is 1.
Thus, LCM of Fractions is 100980.Finally, LCM of Fractions for 10/356, 27/599, 748/823 is 100980.