Least Common Multiple of 114/49, 686/3810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/49, 686/3810 quickly i.e. 39102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/49, 686/3810 is 39102.

LCM(114/49, 686/3810) = 39102

LCM of 114/49, 686/3810

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 114/49,686/3810

Given numbers are 114/49,686/3810

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 114,686

Least Common Multiple of Numerators i.e. LCM of 114,686 is 39102.

GCF of Denominators means GCF of 49,3810 as per the given fractions.

GCF of 49,3810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,686

LCM of Fractions 114/49,686/3810 is 39102

2 114, 686
57, 343

∴ So the LCM of the given numbers is 2 x 57 x 343 = 39102

Least Common Multiple of 114,686 with GCF Formula

Least Common Multiple of 114,686 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 114,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,686) = 2

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

GCF(114,686) x common factors =2 x 1 = 2

LCM(114,686) = ( 114 × 686 ) / 2

LCM(114,686) = 78204 / 2

LCM(114,686) = 39102


Lets's calculate GCF of 49,3810

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39102/1

Therefore the LCM of Fractions 114/49,686/3810 is 39102

Greatest Common Factor of 49,3810 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,3810 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 3810

List of positive integer factors of 3810 that divides 3810 without a remainder.

1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810

Greatest Common Factor

We found the factors 49,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 49,3810 is 1.


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 114/49, 686/3810

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 114/49, 686/3810?

Answer: LCM of Numerators as per given numbers 114/49, 686/3810 is

LCM of Numerators i.e. for 114,686 is 39102

GCF of denominators i.e. for 49,3810 is 1.

Thus, LCM of Fractions is 39102.Finally, LCM of Fractions for 114/49, 686/3810 is 39102.