Least Common Multiple of 738/426, 442/346, 205/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/426, 442/346, 205/524 quickly i.e. 407745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/426, 442/346, 205/524 is 407745.

LCM(738/426, 442/346, 205/524) = 407745

LCM of 738/426, 442/346, 205/524

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 738/426,442/346,205/524

Given numbers are 738/426,442/346,205/524

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 738,442,205

Least Common Multiple of Numerators i.e. LCM of 738,442,205 is 815490.

GCF of Denominators means GCF of 426,346,524 as per the given fractions.

GCF of 426,346,524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,442,205

LCM of Fractions 738/426,442/346,205/524 is 407745

2 738, 442, 205
41 369, 221, 205
9, 221, 5

∴ So the LCM of the given numbers is 2 x 41 x 9 x 221 x 5 = 815490

Least Common Multiple of 738,442,205 with GCF Formula

Least Common Multiple of 738,442,205 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 738,442,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,442,205) = 1

common factors(in case of two or more numbers have common factors) = 82

GCF(738,442,205) x common factors =1 x 82 = 82

LCM(738,442,205) = ( 738 × 442 × 205 ) / 82

LCM(738,442,205) = 66870180 / 82

LCM(738,442,205) = 815490


Lets's calculate GCF of 426,346,524

2 426, 346, 524
213, 173, 262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 815490/2

Therefore the LCM of Fractions 738/426,442/346,205/524 is 407745

Greatest Common Factor of 426,346,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,346,524 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 426,346,524 . The biggest common factor number is the GCF number.
So the greatest common factor 426,346,524 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 738/426, 442/346, 205/524

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 738/426, 442/346, 205/524?

Answer: LCM of Numerators as per given numbers 738/426, 442/346, 205/524 is

LCM of Numerators i.e. for 738,442,205 is 815490

GCF of denominators i.e. for 426,346,524 is 2.

Thus, LCM of Fractions is 407745.Finally, LCM of Fractions for 738/426, 442/346, 205/524 is 407745.