Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 454/77, 295/5896 quickly i.e. 133930/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 454/77, 295/5896 is 133930/11.
LCM(454/77, 295/5896) = 133930/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 454/77,295/5896
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 454,295
Least Common Multiple of Numerators i.e. LCM of 454,295 is 133930.
GCF of Denominators means GCF of 77,5896 as per the given fractions.
GCF of 77,5896 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 454,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 133930
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 454,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,295) x common factors =1 x 1 = 1
LCM(454,295) = ( 454 × 295 ) / 1
LCM(454,295) = 133930 / 1
LCM(454,295) = 133930
Lets's calculate GCF of 77,5896
11 | 77, 5896 |
7, 536 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133930/11
Therefore the LCM of Fractions 454/77,295/5896 is 133930/11
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 5896
List of positive integer factors of 5896 that divides 5896 without a remainder.
1,2,4,8,11,22,44,67,88,134,268,536,737,1474,2948,5896
Greatest Common Factor
We found the factors 77,5896 . The biggest common factor number is the GCF number.
So the greatest common factor 77,5896 is 11.
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 454/77, 295/5896?
Answer: LCM of Numerators as per given numbers 454/77, 295/5896 is
LCM of Numerators i.e. for 454,295 is 133930
GCF of denominators i.e. for 77,5896 is 11.
Thus, LCM of Fractions is 133930/11.Finally, LCM of Fractions for 454/77, 295/5896 is 133930/11.