Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/786, 28/214, 957/468 quickly i.e. 174174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/786, 28/214, 957/468 is 174174.
LCM(52/786, 28/214, 957/468) = 174174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/786,28/214,957/468
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 52,28,957
Least Common Multiple of Numerators i.e. LCM of 52,28,957 is 348348.
GCF of Denominators means GCF of 786,214,468 as per the given fractions.
GCF of 786,214,468 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,28,957
2 | 52, 28, 957 |
2 | 26, 14, 957 |
13, 7, 957 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 7 x 957 = 348348
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 52,28,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,28,957) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(52,28,957) x common factors =1 x 4 = 4
LCM(52,28,957) = ( 52 × 28 × 957 ) / 4
LCM(52,28,957) = 1393392 / 4
LCM(52,28,957) = 348348
Lets's calculate GCF of 786,214,468
2 | 786, 214, 468 |
393, 107, 234 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348348/2
Therefore the LCM of Fractions 52/786,28/214,957/468 is 174174
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 786,214,468 . The biggest common factor number is the GCF number.
So the greatest common factor 786,214,468 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 52/786, 28/214, 957/468?
Answer: LCM of Numerators as per given numbers 52/786, 28/214, 957/468 is
LCM of Numerators i.e. for 52,28,957 is 348348
GCF of denominators i.e. for 786,214,468 is 2.
Thus, LCM of Fractions is 174174.Finally, LCM of Fractions for 52/786, 28/214, 957/468 is 174174.