Least Common Multiple of 206/7, 74/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/7, 74/49 quickly i.e. 7622/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/7, 74/49 is 7622/7.

LCM(206/7, 74/49) = 7622/7

LCM of 206/7, 74/49

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 206/7,74/49

Given numbers are 206/7,74/49

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 206,74

Least Common Multiple of Numerators i.e. LCM of 206,74 is 7622.

GCF of Denominators means GCF of 7,49 as per the given fractions.

GCF of 7,49 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,74

LCM of Fractions 206/7,74/49 is 7622/7

2 206, 74
103, 37

∴ So the LCM of the given numbers is 2 x 103 x 37 = 7622

Least Common Multiple of 206,74 with GCF Formula

Least Common Multiple of 206,74 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 206,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,74) = 2

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

GCF(206,74) x common factors =2 x 1 = 2

LCM(206,74) = ( 206 × 74 ) / 2

LCM(206,74) = 15244 / 2

LCM(206,74) = 7622


Lets's calculate GCF of 7,49

7 7, 49
1, 7

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7622/7

Therefore the LCM of Fractions 206/7,74/49 is 7622/7

Greatest Common Factor of 7,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,49 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 49

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

1,7,49

Greatest Common Factor

We found the factors 7,49 . The biggest common factor number is the GCF number.
So the greatest common factor 7,49 is 7.


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 206/7, 74/49

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 206/7, 74/49?

Answer: LCM of Numerators as per given numbers 206/7, 74/49 is

LCM of Numerators i.e. for 206,74 is 7622

GCF of denominators i.e. for 7,49 is 7.

Thus, LCM of Fractions is 7622/7.Finally, LCM of Fractions for 206/7, 74/49 is 7622/7.