Least Common Multiple of 548/26, 861/74, 585/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/26, 861/74, 585/322 quickly i.e. 46003230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/26, 861/74, 585/322 is 46003230.

LCM(548/26, 861/74, 585/322) = 46003230

LCM of 548/26, 861/74, 585/322

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 548/26,861/74,585/322

Given numbers are 548/26,861/74,585/322

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 548,861,585

Least Common Multiple of Numerators i.e. LCM of 548,861,585 is 92006460.

GCF of Denominators means GCF of 26,74,322 as per the given fractions.

GCF of 26,74,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,861,585

LCM of Fractions 548/26,861/74,585/322 is 46003230

3 548, 861, 585
548, 287, 195

∴ So the LCM of the given numbers is 3 x 548 x 287 x 195 = 92006460

Least Common Multiple of 548,861,585 with GCF Formula

Least Common Multiple of 548,861,585 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 548,861,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,861,585) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(548,861,585) x common factors =1 x 3 = 3

LCM(548,861,585) = ( 548 × 861 × 585 ) / 3

LCM(548,861,585) = 276019380 / 3

LCM(548,861,585) = 92006460


Lets's calculate GCF of 26,74,322

2 26, 74, 322
13, 37, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92006460/2

Therefore the LCM of Fractions 548/26,861/74,585/322 is 46003230

Greatest Common Factor of 26,74,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,74,322 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 26,74,322 . The biggest common factor number is the GCF number.
So the greatest common factor 26,74,322 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 548/26, 861/74, 585/322

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 548/26, 861/74, 585/322?

Answer: LCM of Numerators as per given numbers 548/26, 861/74, 585/322 is

LCM of Numerators i.e. for 548,861,585 is 92006460

GCF of denominators i.e. for 26,74,322 is 2.

Thus, LCM of Fractions is 46003230.Finally, LCM of Fractions for 548/26, 861/74, 585/322 is 46003230.