Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9020/42, 3798/278 quickly i.e. 8564490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9020/42, 3798/278 is 8564490.
LCM(9020/42, 3798/278) = 8564490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9020/42,3798/278
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 9020,3798
Least Common Multiple of Numerators i.e. LCM of 9020,3798 is 17128980.
GCF of Denominators means GCF of 42,278 as per the given fractions.
GCF of 42,278 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9020,3798
2 | 9020, 3798 |
4510, 1899 |
∴ So the LCM of the given numbers is 2 x 4510 x 1899 = 17128980
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 9020,3798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9020,3798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9020,3798) x common factors =2 x 1 = 2
LCM(9020,3798) = ( 9020 × 3798 ) / 2
LCM(9020,3798) = 34257960 / 2
LCM(9020,3798) = 17128980
Lets's calculate GCF of 42,278
2 | 42, 278 |
21, 139 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17128980/2
Therefore the LCM of Fractions 9020/42,3798/278 is 8564490
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 42,278 . The biggest common factor number is the GCF number.
So the greatest common factor 42,278 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 9020/42, 3798/278?
Answer: LCM of Numerators as per given numbers 9020/42, 3798/278 is
LCM of Numerators i.e. for 9020,3798 is 17128980
GCF of denominators i.e. for 42,278 is 2.
Thus, LCM of Fractions is 8564490.Finally, LCM of Fractions for 9020/42, 3798/278 is 8564490.