Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 921/799, 5347/6157 quickly i.e. 4924587/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 921/799, 5347/6157 is 4924587/47.
LCM(921/799, 5347/6157) = 4924587/47
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 921/799,5347/6157
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 921,5347
Least Common Multiple of Numerators i.e. LCM of 921,5347 is 4924587.
GCF of Denominators means GCF of 799,6157 as per the given fractions.
GCF of 799,6157 is 47 as it is the largest common factor for these numbers.
Lets's calculate LCM of 921,5347
Given numbers has no common factors except 1. So, there LCM is their product i.e 4924587
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 921,5347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,5347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,5347) x common factors =1 x 1 = 1
LCM(921,5347) = ( 921 × 5347 ) / 1
LCM(921,5347) = 4924587 / 1
LCM(921,5347) = 4924587
Lets's calculate GCF of 799,6157
47 | 799, 6157 |
17, 131 |
∴ So the GCF of the given numbers is 47 = 47
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4924587/47
Therefore the LCM of Fractions 921/799,5347/6157 is 4924587/47
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 6157
List of positive integer factors of 6157 that divides 6157 without a remainder.
1,47,131,6157
Greatest Common Factor
We found the factors 799,6157 . The biggest common factor number is the GCF number.
So the greatest common factor 799,6157 is 47.
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 921/799, 5347/6157?
Answer: LCM of Numerators as per given numbers 921/799, 5347/6157 is
LCM of Numerators i.e. for 921,5347 is 4924587
GCF of denominators i.e. for 799,6157 is 47.
Thus, LCM of Fractions is 4924587/47.Finally, LCM of Fractions for 921/799, 5347/6157 is 4924587/47.