Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 336/92, 300/9040 quickly i.e. 2100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 336/92, 300/9040 is 2100.
LCM(336/92, 300/9040) = 2100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 336/92,300/9040
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 336,300
Least Common Multiple of Numerators i.e. LCM of 336,300 is 8400.
GCF of Denominators means GCF of 92,9040 as per the given fractions.
GCF of 92,9040 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 336,300
2 | 336, 300 |
2 | 168, 150 |
3 | 84, 75 |
28, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 28 x 25 = 8400
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 336,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,300) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(336,300) x common factors =12 x 1 = 12
LCM(336,300) = ( 336 × 300 ) / 12
LCM(336,300) = 100800 / 12
LCM(336,300) = 8400
Lets's calculate GCF of 92,9040
2 | 92, 9040 |
2 | 46, 4520 |
23, 2260 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8400/4
Therefore the LCM of Fractions 336/92,300/9040 is 2100
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 9040
List of positive integer factors of 9040 that divides 9040 without a remainder.
1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Greatest Common Factor
We found the factors 92,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 92,9040 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 336/92, 300/9040?
Answer: LCM of Numerators as per given numbers 336/92, 300/9040 is
LCM of Numerators i.e. for 336,300 is 8400
GCF of denominators i.e. for 92,9040 is 4.
Thus, LCM of Fractions is 2100.Finally, LCM of Fractions for 336/92, 300/9040 is 2100.