Least Common Multiple of 14/126, 7457/4286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/126, 7457/4286 quickly i.e. 52199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/126, 7457/4286 is 52199.

LCM(14/126, 7457/4286) = 52199

LCM of 14/126, 7457/4286

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 14/126,7457/4286

Given numbers are 14/126,7457/4286

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 14,7457

Least Common Multiple of Numerators i.e. LCM of 14,7457 is 104398.

GCF of Denominators means GCF of 126,4286 as per the given fractions.

GCF of 126,4286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,7457

LCM of Fractions 14/126,7457/4286 is 52199

Given numbers has no common factors except 1. So, there LCM is their product i.e 104398

Least Common Multiple of 14,7457 with GCF Formula

Least Common Multiple of 14,7457 with GCF Formula

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 14,7457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,7457) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(14,7457) x common factors =1 x 1 = 1

LCM(14,7457) = ( 14 × 7457 ) / 1

LCM(14,7457) = 104398 / 1

LCM(14,7457) = 104398


Lets's calculate GCF of 126,4286

2 126, 4286
63, 2143

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104398/2

Therefore the LCM of Fractions 14/126,7457/4286 is 52199

Greatest Common Factor of 126,4286 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,4286 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 4286

List of positive integer factors of 4286 that divides 4286 without a remainder.

1,2,2143,4286

Greatest Common Factor

We found the factors 126,4286 . The biggest common factor number is the GCF number.
So the greatest common factor 126,4286 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 14/126, 7457/4286

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 14/126, 7457/4286?

Answer: LCM of Numerators as per given numbers 14/126, 7457/4286 is

LCM of Numerators i.e. for 14,7457 is 104398

GCF of denominators i.e. for 126,4286 is 2.

Thus, LCM of Fractions is 52199.Finally, LCM of Fractions for 14/126, 7457/4286 is 52199.