Least Common Multiple of 60/742, 46/382, 723/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/742, 46/382, 723/596 quickly i.e. 166290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/742, 46/382, 723/596 is 166290.

LCM(60/742, 46/382, 723/596) = 166290

LCM of 60/742, 46/382, 723/596

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 60/742,46/382,723/596

Given numbers are 60/742,46/382,723/596

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 60,46,723

Least Common Multiple of Numerators i.e. LCM of 60,46,723 is 332580.

GCF of Denominators means GCF of 742,382,596 as per the given fractions.

GCF of 742,382,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,46,723

LCM of Fractions 60/742,46/382,723/596 is 166290

2 60, 46, 723
3 30, 23, 723
10, 23, 241

∴ So the LCM of the given numbers is 2 x 3 x 10 x 23 x 241 = 332580

Least Common Multiple of 60,46,723 with GCF Formula

Least Common Multiple of 60,46,723 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 60,46,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,46,723) = 1

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

GCF(60,46,723) x common factors =1 x 6 = 6

LCM(60,46,723) = ( 60 × 46 × 723 ) / 6

LCM(60,46,723) = 1995480 / 6

LCM(60,46,723) = 332580


Lets's calculate GCF of 742,382,596

2 742, 382, 596
371, 191, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332580/2

Therefore the LCM of Fractions 60/742,46/382,723/596 is 166290

Greatest Common Factor of 742,382,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,382,596 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 742,382,596 . The biggest common factor number is the GCF number.
So the greatest common factor 742,382,596 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 60/742, 46/382, 723/596

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 60/742, 46/382, 723/596?

Answer: LCM of Numerators as per given numbers 60/742, 46/382, 723/596 is

LCM of Numerators i.e. for 60,46,723 is 332580

GCF of denominators i.e. for 742,382,596 is 2.

Thus, LCM of Fractions is 166290.Finally, LCM of Fractions for 60/742, 46/382, 723/596 is 166290.