Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 986/534, 6002/890 quickly i.e. 2958986/178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 986/534, 6002/890 is 2958986/178.
LCM(986/534, 6002/890) = 2958986/178
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 986/534,6002/890
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 986,6002
Least Common Multiple of Numerators i.e. LCM of 986,6002 is 2958986.
GCF of Denominators means GCF of 534,890 as per the given fractions.
GCF of 534,890 is 178 as it is the largest common factor for these numbers.
Lets's calculate LCM of 986,6002
2 | 986, 6002 |
493, 3001 |
∴ So the LCM of the given numbers is 2 x 493 x 3001 = 2958986
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 986,6002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,6002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,6002) x common factors =2 x 1 = 2
LCM(986,6002) = ( 986 × 6002 ) / 2
LCM(986,6002) = 5917972 / 2
LCM(986,6002) = 2958986
Lets's calculate GCF of 534,890
2 | 534, 890 |
89 | 267, 445 |
3, 5 |
∴ So the GCF of the given numbers is 2 x 89 = 178
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2958986/178
Therefore the LCM of Fractions 986/534,6002/890 is 2958986/178
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 534,890 . The biggest common factor number is the GCF number.
So the greatest common factor 534,890 is 178.
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 986/534, 6002/890?
Answer: LCM of Numerators as per given numbers 986/534, 6002/890 is
LCM of Numerators i.e. for 986,6002 is 2958986
GCF of denominators i.e. for 534,890 is 178.
Thus, LCM of Fractions is 2958986/178.Finally, LCM of Fractions for 986/534, 6002/890 is 2958986/178.