Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8902/308, 5862/208 quickly i.e. 26091762/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8902/308, 5862/208 is 26091762/4.
LCM(8902/308, 5862/208) = 26091762/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8902/308,5862/208
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 8902,5862
Least Common Multiple of Numerators i.e. LCM of 8902,5862 is 26091762.
GCF of Denominators means GCF of 308,208 as per the given fractions.
GCF of 308,208 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8902,5862
2 | 8902, 5862 |
4451, 2931 |
∴ So the LCM of the given numbers is 2 x 4451 x 2931 = 26091762
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 8902,5862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8902,5862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8902,5862) x common factors =2 x 1 = 2
LCM(8902,5862) = ( 8902 × 5862 ) / 2
LCM(8902,5862) = 52183524 / 2
LCM(8902,5862) = 26091762
Lets's calculate GCF of 308,208
2 | 308, 208 |
2 | 154, 104 |
77, 52 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26091762/4
Therefore the LCM of Fractions 8902/308,5862/208 is 26091762/4
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 308,208 . The biggest common factor number is the GCF number.
So the greatest common factor 308,208 is 4.
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 8902/308, 5862/208?
Answer: LCM of Numerators as per given numbers 8902/308, 5862/208 is
LCM of Numerators i.e. for 8902,5862 is 26091762
GCF of denominators i.e. for 308,208 is 4.
Thus, LCM of Fractions is 26091762/4.Finally, LCM of Fractions for 8902/308, 5862/208 is 26091762/4.