Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/96, 10/438, 269/780 quickly i.e. 207130/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/96, 10/438, 269/780 is 207130/6.
LCM(77/96, 10/438, 269/780) = 207130/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/96,10/438,269/780
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 77,10,269
Least Common Multiple of Numerators i.e. LCM of 77,10,269 is 207130.
GCF of Denominators means GCF of 96,438,780 as per the given fractions.
GCF of 96,438,780 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,10,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 207130
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 77,10,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,10,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,10,269) x common factors =1 x 1 = 1
LCM(77,10,269) = ( 77 × 10 × 269 ) / 1
LCM(77,10,269) = 207130 / 1
LCM(77,10,269) = 207130
Lets's calculate GCF of 96,438,780
2 | 96, 438, 780 |
3 | 48, 219, 390 |
16, 73, 130 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207130/6
Therefore the LCM of Fractions 77/96,10/438,269/780 is 207130/6
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 96,438,780 . The biggest common factor number is the GCF number.
So the greatest common factor 96,438,780 is 6.
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 77/96, 10/438, 269/780?
Answer: LCM of Numerators as per given numbers 77/96, 10/438, 269/780 is
LCM of Numerators i.e. for 77,10,269 is 207130
GCF of denominators i.e. for 96,438,780 is 6.
Thus, LCM of Fractions is 207130/6.Finally, LCM of Fractions for 77/96, 10/438, 269/780 is 207130/6.