Least Common Multiple of 42/439, 263/531, 735/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/439, 263/531, 735/299 quickly i.e. 386610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/439, 263/531, 735/299 is 386610.

LCM(42/439, 263/531, 735/299) = 386610

LCM of 42/439, 263/531, 735/299

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 42/439,263/531,735/299

Given numbers are 42/439,263/531,735/299

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 42,263,735

Least Common Multiple of Numerators i.e. LCM of 42,263,735 is 386610.

GCF of Denominators means GCF of 439,531,299 as per the given fractions.

GCF of 439,531,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,263,735

LCM of Fractions 42/439,263/531,735/299 is 386610

3 42, 263, 735
7 14, 263, 245
2, 263, 35

∴ So the LCM of the given numbers is 3 x 7 x 2 x 263 x 35 = 386610

Least Common Multiple of 42,263,735 with GCF Formula

Least Common Multiple of 42,263,735 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 42,263,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,263,735) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(42,263,735) x common factors =1 x 21 = 21

LCM(42,263,735) = ( 42 × 263 × 735 ) / 21

LCM(42,263,735) = 8118810 / 21

LCM(42,263,735) = 386610


Lets's calculate GCF of 439,531,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386610/1

Therefore the LCM of Fractions 42/439,263/531,735/299 is 386610

Greatest Common Factor of 439,531,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,531,299 By Matching Biggest Common Factor Method

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 439,531,299 . The biggest common factor number is the GCF number.
So the greatest common factor 439,531,299 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 42/439, 263/531, 735/299

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 42/439, 263/531, 735/299?

Answer: LCM of Numerators as per given numbers 42/439, 263/531, 735/299 is

LCM of Numerators i.e. for 42,263,735 is 386610

GCF of denominators i.e. for 439,531,299 is 1.

Thus, LCM of Fractions is 386610.Finally, LCM of Fractions for 42/439, 263/531, 735/299 is 386610.