Least Common Multiple of 240/34, 634/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 240/34, 634/206 quickly i.e. 38040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/34, 634/206 is 38040.

LCM(240/34, 634/206) = 38040

LCM of 240/34, 634/206

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 240/34,634/206

Given numbers are 240/34,634/206

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 240,634

Least Common Multiple of Numerators i.e. LCM of 240,634 is 76080.

GCF of Denominators means GCF of 34,206 as per the given fractions.

GCF of 34,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,634

LCM of Fractions 240/34,634/206 is 38040

2 240, 634
120, 317

∴ So the LCM of the given numbers is 2 x 120 x 317 = 76080

Least Common Multiple of 240,634 with GCF Formula

Least Common Multiple of 240,634 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 240,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,634) = 2

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

GCF(240,634) x common factors =2 x 1 = 2

LCM(240,634) = ( 240 × 634 ) / 2

LCM(240,634) = 152160 / 2

LCM(240,634) = 76080


Lets's calculate GCF of 34,206

2 34, 206
17, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76080/2

Therefore the LCM of Fractions 240/34,634/206 is 38040

Greatest Common Factor of 34,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,206 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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 34,206 . The biggest common factor number is the GCF number.
So the greatest common factor 34,206 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 240/34, 634/206

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 240/34, 634/206?

Answer: LCM of Numerators as per given numbers 240/34, 634/206 is

LCM of Numerators i.e. for 240,634 is 76080

GCF of denominators i.e. for 34,206 is 2.

Thus, LCM of Fractions is 38040.Finally, LCM of Fractions for 240/34, 634/206 is 38040.