Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 768/178, 8958/761 quickly i.e. 1146624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 768/178, 8958/761 is 1146624.
LCM(768/178, 8958/761) = 1146624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 768/178,8958/761
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 768,8958
Least Common Multiple of Numerators i.e. LCM of 768,8958 is 1146624.
GCF of Denominators means GCF of 178,761 as per the given fractions.
GCF of 178,761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 768,8958
2 | 768, 8958 |
3 | 384, 4479 |
128, 1493 |
∴ So the LCM of the given numbers is 2 x 3 x 128 x 1493 = 1146624
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 768,8958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,8958) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(768,8958) x common factors =6 x 1 = 6
LCM(768,8958) = ( 768 × 8958 ) / 6
LCM(768,8958) = 6879744 / 6
LCM(768,8958) = 1146624
Lets's calculate GCF of 178,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1146624/1
Therefore the LCM of Fractions 768/178,8958/761 is 1146624
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 178,761 . The biggest common factor number is the GCF number.
So the greatest common factor 178,761 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 768/178, 8958/761?
Answer: LCM of Numerators as per given numbers 768/178, 8958/761 is
LCM of Numerators i.e. for 768,8958 is 1146624
GCF of denominators i.e. for 178,761 is 1.
Thus, LCM of Fractions is 1146624.Finally, LCM of Fractions for 768/178, 8958/761 is 1146624.