Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3076/546, 8397/9796 quickly i.e. 12914586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3076/546, 8397/9796 is 12914586.
LCM(3076/546, 8397/9796) = 12914586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3076/546,8397/9796
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 3076,8397
Least Common Multiple of Numerators i.e. LCM of 3076,8397 is 25829172.
GCF of Denominators means GCF of 546,9796 as per the given fractions.
GCF of 546,9796 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3076,8397
Given numbers has no common factors except 1. So, there LCM is their product i.e 25829172
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 3076,8397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3076,8397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3076,8397) x common factors =1 x 1 = 1
LCM(3076,8397) = ( 3076 × 8397 ) / 1
LCM(3076,8397) = 25829172 / 1
LCM(3076,8397) = 25829172
Lets's calculate GCF of 546,9796
2 | 546, 9796 |
273, 4898 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25829172/2
Therefore the LCM of Fractions 3076/546,8397/9796 is 12914586
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 9796
List of positive integer factors of 9796 that divides 9796 without a remainder.
1,2,4,31,62,79,124,158,316,2449,4898,9796
Greatest Common Factor
We found the factors 546,9796 . The biggest common factor number is the GCF number.
So the greatest common factor 546,9796 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 3076/546, 8397/9796?
Answer: LCM of Numerators as per given numbers 3076/546, 8397/9796 is
LCM of Numerators i.e. for 3076,8397 is 25829172
GCF of denominators i.e. for 546,9796 is 2.
Thus, LCM of Fractions is 12914586.Finally, LCM of Fractions for 3076/546, 8397/9796 is 12914586.