Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/88, 27/376, 71/764 quickly i.e. 13419/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/88, 27/376, 71/764 is 13419/4.
LCM(7/88, 27/376, 71/764) = 13419/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/88,27/376,71/764
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 7,27,71
Least Common Multiple of Numerators i.e. LCM of 7,27,71 is 13419.
GCF of Denominators means GCF of 88,376,764 as per the given fractions.
GCF of 88,376,764 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,27,71
Given numbers has no common factors except 1. So, there LCM is their product i.e 13419
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 7,27,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,27,71) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,27,71) x common factors =1 x 1 = 1
LCM(7,27,71) = ( 7 × 27 × 71 ) / 1
LCM(7,27,71) = 13419 / 1
LCM(7,27,71) = 13419
Lets's calculate GCF of 88,376,764
2 | 88, 376, 764 |
2 | 44, 188, 382 |
22, 94, 191 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13419/4
Therefore the LCM of Fractions 7/88,27/376,71/764 is 13419/4
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Greatest Common Factor
We found the factors 88,376,764 . The biggest common factor number is the GCF number.
So the greatest common factor 88,376,764 is 4.
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 7/88, 27/376, 71/764?
Answer: LCM of Numerators as per given numbers 7/88, 27/376, 71/764 is
LCM of Numerators i.e. for 7,27,71 is 13419
GCF of denominators i.e. for 88,376,764 is 4.
Thus, LCM of Fractions is 13419/4.Finally, LCM of Fractions for 7/88, 27/376, 71/764 is 13419/4.