Least Common Multiple of 85/498, 793/382, 378/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/498, 793/382, 378/596 quickly i.e. 12739545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/498, 793/382, 378/596 is 12739545.

LCM(85/498, 793/382, 378/596) = 12739545

LCM of 85/498, 793/382, 378/596

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 85/498,793/382,378/596

Given numbers are 85/498,793/382,378/596

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 85,793,378

Least Common Multiple of Numerators i.e. LCM of 85,793,378 is 25479090.

GCF of Denominators means GCF of 498,382,596 as per the given fractions.

GCF of 498,382,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,793,378

LCM of Fractions 85/498,793/382,378/596 is 12739545

Given numbers has no common factors except 1. So, there LCM is their product i.e 25479090

Least Common Multiple of 85,793,378 with GCF Formula

Least Common Multiple of 85,793,378 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 85,793,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,793,378) = 1

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

GCF(85,793,378) x common factors =1 x 1 = 1

LCM(85,793,378) = ( 85 × 793 × 378 ) / 1

LCM(85,793,378) = 25479090 / 1

LCM(85,793,378) = 25479090


Lets's calculate GCF of 498,382,596

2 498, 382, 596
249, 191, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25479090/2

Therefore the LCM of Fractions 85/498,793/382,378/596 is 12739545

Greatest Common Factor of 498,382,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,382,596 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

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 498,382,596 . The biggest common factor number is the GCF number.
So the greatest common factor 498,382,596 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 85/498, 793/382, 378/596

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 85/498, 793/382, 378/596?

Answer: LCM of Numerators as per given numbers 85/498, 793/382, 378/596 is

LCM of Numerators i.e. for 85,793,378 is 25479090

GCF of denominators i.e. for 498,382,596 is 2.

Thus, LCM of Fractions is 12739545.Finally, LCM of Fractions for 85/498, 793/382, 378/596 is 12739545.