Least Common Multiple of 3214/103, 2918/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3214/103, 2918/206 quickly i.e. 4689226/103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3214/103, 2918/206 is 4689226/103.

LCM(3214/103, 2918/206) = 4689226/103

LCM of 3214/103, 2918/206

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 3214/103,2918/206

Given numbers are 3214/103,2918/206

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 3214,2918

Least Common Multiple of Numerators i.e. LCM of 3214,2918 is 4689226.

GCF of Denominators means GCF of 103,206 as per the given fractions.

GCF of 103,206 is 103 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3214,2918

LCM of Fractions 3214/103,2918/206 is 4689226/103

2 3214, 2918
1607, 1459

∴ So the LCM of the given numbers is 2 x 1607 x 1459 = 4689226

Least Common Multiple of 3214,2918 with GCF Formula

Least Common Multiple of 3214,2918 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 3214,2918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3214,2918) = 2

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

GCF(3214,2918) x common factors =2 x 1 = 2

LCM(3214,2918) = ( 3214 × 2918 ) / 2

LCM(3214,2918) = 9378452 / 2

LCM(3214,2918) = 4689226


Lets's calculate GCF of 103,206

103 103, 206
1, 2

∴ So the GCF of the given numbers is 103 = 103

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4689226/103

Therefore the LCM of Fractions 3214/103,2918/206 is 4689226/103

Greatest Common Factor of 103,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,206 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 103,206 . The biggest common factor number is the GCF number.
So the greatest common factor 103,206 is 103.


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 3214/103, 2918/206

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 3214/103, 2918/206?

Answer: LCM of Numerators as per given numbers 3214/103, 2918/206 is

LCM of Numerators i.e. for 3214,2918 is 4689226

GCF of denominators i.e. for 103,206 is 103.

Thus, LCM of Fractions is 4689226/103.Finally, LCM of Fractions for 3214/103, 2918/206 is 4689226/103.