Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/769, 969/862, 526/944 quickly i.e. 22426536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/769, 969/862, 526/944 is 22426536.
LCM(88/769, 969/862, 526/944) = 22426536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/769,969/862,526/944
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 88,969,526
Least Common Multiple of Numerators i.e. LCM of 88,969,526 is 22426536.
GCF of Denominators means GCF of 769,862,944 as per the given fractions.
GCF of 769,862,944 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,969,526
2 | 88, 969, 526 |
44, 969, 263 |
∴ So the LCM of the given numbers is 2 x 44 x 969 x 263 = 22426536
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 88,969,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,969,526) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,969,526) x common factors =1 x 2 = 2
LCM(88,969,526) = ( 88 × 969 × 526 ) / 2
LCM(88,969,526) = 44853072 / 2
LCM(88,969,526) = 22426536
Lets's calculate GCF of 769,862,944
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22426536/1
Therefore the LCM of Fractions 88/769,969/862,526/944 is 22426536
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Greatest Common Factor
We found the factors 769,862,944 . The biggest common factor number is the GCF number.
So the greatest common factor 769,862,944 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 88/769, 969/862, 526/944?
Answer: LCM of Numerators as per given numbers 88/769, 969/862, 526/944 is
LCM of Numerators i.e. for 88,969,526 is 22426536
GCF of denominators i.e. for 769,862,944 is 1.
Thus, LCM of Fractions is 22426536.Finally, LCM of Fractions for 88/769, 969/862, 526/944 is 22426536.