Least Common Multiple of 42/729, 76/786, 435/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/729, 76/786, 435/338 quickly i.e. 231420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/729, 76/786, 435/338 is 231420.

LCM(42/729, 76/786, 435/338) = 231420

LCM of 42/729, 76/786, 435/338

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 42/729,76/786,435/338

Given numbers are 42/729,76/786,435/338

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 42,76,435

Least Common Multiple of Numerators i.e. LCM of 42,76,435 is 231420.

GCF of Denominators means GCF of 729,786,338 as per the given fractions.

GCF of 729,786,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,76,435

LCM of Fractions 42/729,76/786,435/338 is 231420

2 42, 76, 435
3 21, 38, 435
7, 38, 145

∴ So the LCM of the given numbers is 2 x 3 x 7 x 38 x 145 = 231420

Least Common Multiple of 42,76,435 with GCF Formula

Least Common Multiple of 42,76,435 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 42,76,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,76,435) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,76,435) x common factors =1 x 6 = 6

LCM(42,76,435) = ( 42 × 76 × 435 ) / 6

LCM(42,76,435) = 1388520 / 6

LCM(42,76,435) = 231420


Lets's calculate GCF of 729,786,338

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231420/1

Therefore the LCM of Fractions 42/729,76/786,435/338 is 231420

Greatest Common Factor of 729,786,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,786,338 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 729,786,338 . The biggest common factor number is the GCF number.
So the greatest common factor 729,786,338 is 1.


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 42/729, 76/786, 435/338

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 42/729, 76/786, 435/338?

Answer: LCM of Numerators as per given numbers 42/729, 76/786, 435/338 is

LCM of Numerators i.e. for 42,76,435 is 231420

GCF of denominators i.e. for 729,786,338 is 1.

Thus, LCM of Fractions is 231420.Finally, LCM of Fractions for 42/729, 76/786, 435/338 is 231420.