Least Common Multiple of 95/576, 71/498, 245/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/576, 71/498, 245/599 quickly i.e. 330505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/576, 71/498, 245/599 is 330505.

LCM(95/576, 71/498, 245/599) = 330505

LCM of 95/576, 71/498, 245/599

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 95/576,71/498,245/599

Given numbers are 95/576,71/498,245/599

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 95,71,245

Least Common Multiple of Numerators i.e. LCM of 95,71,245 is 330505.

GCF of Denominators means GCF of 576,498,599 as per the given fractions.

GCF of 576,498,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,71,245

LCM of Fractions 95/576,71/498,245/599 is 330505

5 95, 71, 245
19, 71, 49

∴ So the LCM of the given numbers is 5 x 19 x 71 x 49 = 330505

Least Common Multiple of 95,71,245 with GCF Formula

Least Common Multiple of 95,71,245 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 95,71,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,71,245) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(95,71,245) x common factors =1 x 5 = 5

LCM(95,71,245) = ( 95 × 71 × 245 ) / 5

LCM(95,71,245) = 1652525 / 5

LCM(95,71,245) = 330505


Lets's calculate GCF of 576,498,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330505/1

Therefore the LCM of Fractions 95/576,71/498,245/599 is 330505

Greatest Common Factor of 576,498,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,498,599 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

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 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 576,498,599 . The biggest common factor number is the GCF number.
So the greatest common factor 576,498,599 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 95/576, 71/498, 245/599

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 95/576, 71/498, 245/599?

Answer: LCM of Numerators as per given numbers 95/576, 71/498, 245/599 is

LCM of Numerators i.e. for 95,71,245 is 330505

GCF of denominators i.e. for 576,498,599 is 1.

Thus, LCM of Fractions is 330505.Finally, LCM of Fractions for 95/576, 71/498, 245/599 is 330505.