Least Common Multiple of 548/485, 856/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 548/485, 856/424 quickly i.e. 117272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/485, 856/424 is 117272.

LCM(548/485, 856/424) = 117272

LCM of 548/485, 856/424

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 548/485,856/424

Given numbers are 548/485,856/424

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 548,856

Least Common Multiple of Numerators i.e. LCM of 548,856 is 117272.

GCF of Denominators means GCF of 485,424 as per the given fractions.

GCF of 485,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,856

LCM of Fractions 548/485,856/424 is 117272

2 548, 856
2 274, 428
137, 214

∴ So the LCM of the given numbers is 2 x 2 x 137 x 214 = 117272

Least Common Multiple of 548,856 with GCF Formula

Least Common Multiple of 548,856 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 548,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,856) = 4

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

GCF(548,856) x common factors =4 x 1 = 4

LCM(548,856) = ( 548 × 856 ) / 4

LCM(548,856) = 469088 / 4

LCM(548,856) = 117272


Lets's calculate GCF of 485,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117272/1

Therefore the LCM of Fractions 548/485,856/424 is 117272

Greatest Common Factor of 485,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,424 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 485,424 . The biggest common factor number is the GCF number.
So the greatest common factor 485,424 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 548/485, 856/424

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 548/485, 856/424?

Answer: LCM of Numerators as per given numbers 548/485, 856/424 is

LCM of Numerators i.e. for 548,856 is 117272

GCF of denominators i.e. for 485,424 is 1.

Thus, LCM of Fractions is 117272.Finally, LCM of Fractions for 548/485, 856/424 is 117272.