Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 102/62, 762/9004 quickly i.e. 6477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 102/62, 762/9004 is 6477.
LCM(102/62, 762/9004) = 6477
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 102/62,762/9004
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 102,762
Least Common Multiple of Numerators i.e. LCM of 102,762 is 12954.
GCF of Denominators means GCF of 62,9004 as per the given fractions.
GCF of 62,9004 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 102,762
2 | 102, 762 |
3 | 51, 381 |
17, 127 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 127 = 12954
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 102,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,762) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(102,762) x common factors =6 x 1 = 6
LCM(102,762) = ( 102 × 762 ) / 6
LCM(102,762) = 77724 / 6
LCM(102,762) = 12954
Lets's calculate GCF of 62,9004
2 | 62, 9004 |
31, 4502 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12954/2
Therefore the LCM of Fractions 102/62,762/9004 is 6477
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 9004
List of positive integer factors of 9004 that divides 9004 without a remainder.
1,2,4,2251,4502,9004
Greatest Common Factor
We found the factors 62,9004 . The biggest common factor number is the GCF number.
So the greatest common factor 62,9004 is 2.
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 102/62, 762/9004?
Answer: LCM of Numerators as per given numbers 102/62, 762/9004 is
LCM of Numerators i.e. for 102,762 is 12954
GCF of denominators i.e. for 62,9004 is 2.
Thus, LCM of Fractions is 6477.Finally, LCM of Fractions for 102/62, 762/9004 is 6477.