Least Common Multiple of 38/144, 847/154, 263/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/144, 847/154, 263/479 quickly i.e. 8464918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/144, 847/154, 263/479 is 8464918.

LCM(38/144, 847/154, 263/479) = 8464918

LCM of 38/144, 847/154, 263/479

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 38/144,847/154,263/479

Given numbers are 38/144,847/154,263/479

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 38,847,263

Least Common Multiple of Numerators i.e. LCM of 38,847,263 is 8464918.

GCF of Denominators means GCF of 144,154,479 as per the given fractions.

GCF of 144,154,479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,847,263

LCM of Fractions 38/144,847/154,263/479 is 8464918

Given numbers has no common factors except 1. So, there LCM is their product i.e 8464918

Least Common Multiple of 38,847,263 with GCF Formula

Least Common Multiple of 38,847,263 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 38,847,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,847,263) = 1

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

GCF(38,847,263) x common factors =1 x 1 = 1

LCM(38,847,263) = ( 38 × 847 × 263 ) / 1

LCM(38,847,263) = 8464918 / 1

LCM(38,847,263) = 8464918


Lets's calculate GCF of 144,154,479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8464918/1

Therefore the LCM of Fractions 38/144,847/154,263/479 is 8464918

Greatest Common Factor of 144,154,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,154,479 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Greatest Common Factor

We found the factors 144,154,479 . The biggest common factor number is the GCF number.
So the greatest common factor 144,154,479 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 38/144, 847/154, 263/479

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 38/144, 847/154, 263/479?

Answer: LCM of Numerators as per given numbers 38/144, 847/154, 263/479 is

LCM of Numerators i.e. for 38,847,263 is 8464918

GCF of denominators i.e. for 144,154,479 is 1.

Thus, LCM of Fractions is 8464918.Finally, LCM of Fractions for 38/144, 847/154, 263/479 is 8464918.