Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3547/498, 3920/346 quickly i.e. 6952120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3547/498, 3920/346 is 6952120.
LCM(3547/498, 3920/346) = 6952120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3547/498,3920/346
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 3547,3920
Least Common Multiple of Numerators i.e. LCM of 3547,3920 is 13904240.
GCF of Denominators means GCF of 498,346 as per the given fractions.
GCF of 498,346 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3547,3920
Given numbers has no common factors except 1. So, there LCM is their product i.e 13904240
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 3547,3920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3547,3920) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3547,3920) x common factors =1 x 1 = 1
LCM(3547,3920) = ( 3547 × 3920 ) / 1
LCM(3547,3920) = 13904240 / 1
LCM(3547,3920) = 13904240
Lets's calculate GCF of 498,346
2 | 498, 346 |
249, 173 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13904240/2
Therefore the LCM of Fractions 3547/498,3920/346 is 6952120
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Greatest Common Factor
We found the factors 498,346 . The biggest common factor number is the GCF number.
So the greatest common factor 498,346 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 3547/498, 3920/346?
Answer: LCM of Numerators as per given numbers 3547/498, 3920/346 is
LCM of Numerators i.e. for 3547,3920 is 13904240
GCF of denominators i.e. for 498,346 is 2.
Thus, LCM of Fractions is 6952120.Finally, LCM of Fractions for 3547/498, 3920/346 is 6952120.