Least Common Multiple of 986/38, 236/2706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 986/38, 236/2706 quickly i.e. 58174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 986/38, 236/2706 is 58174.

LCM(986/38, 236/2706) = 58174

LCM of 986/38, 236/2706

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 986/38,236/2706

Given numbers are 986/38,236/2706

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 986,236

Least Common Multiple of Numerators i.e. LCM of 986,236 is 116348.

GCF of Denominators means GCF of 38,2706 as per the given fractions.

GCF of 38,2706 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 986,236

LCM of Fractions 986/38,236/2706 is 58174

2 986, 236
493, 118

∴ So the LCM of the given numbers is 2 x 493 x 118 = 116348

Least Common Multiple of 986,236 with GCF Formula

Least Common Multiple of 986,236 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 986,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,236) = 2

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

GCF(986,236) x common factors =2 x 1 = 2

LCM(986,236) = ( 986 × 236 ) / 2

LCM(986,236) = 232696 / 2

LCM(986,236) = 116348


Lets's calculate GCF of 38,2706

2 38, 2706
19, 1353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116348/2

Therefore the LCM of Fractions 986/38,236/2706 is 58174

Greatest Common Factor of 38,2706 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,2706 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 2706

List of positive integer factors of 2706 that divides 2706 without a remainder.

1,2,3,6,11,22,33,41,66,82,123,246,451,902,1353,2706

Greatest Common Factor

We found the factors 38,2706 . The biggest common factor number is the GCF number.
So the greatest common factor 38,2706 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 986/38, 236/2706

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 986/38, 236/2706?

Answer: LCM of Numerators as per given numbers 986/38, 236/2706 is

LCM of Numerators i.e. for 986,236 is 116348

GCF of denominators i.e. for 38,2706 is 2.

Thus, LCM of Fractions is 58174.Finally, LCM of Fractions for 986/38, 236/2706 is 58174.