Least Common Multiple of 58/280, 848/971, 556/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/280, 848/971, 556/327 quickly i.e. 3418288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/280, 848/971, 556/327 is 3418288.

LCM(58/280, 848/971, 556/327) = 3418288

LCM of 58/280, 848/971, 556/327

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 58/280,848/971,556/327

Given numbers are 58/280,848/971,556/327

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 58,848,556

Least Common Multiple of Numerators i.e. LCM of 58,848,556 is 3418288.

GCF of Denominators means GCF of 280,971,327 as per the given fractions.

GCF of 280,971,327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,848,556

LCM of Fractions 58/280,848/971,556/327 is 3418288

2 58, 848, 556
2 29, 424, 278
29, 212, 139

∴ So the LCM of the given numbers is 2 x 2 x 29 x 212 x 139 = 3418288

Least Common Multiple of 58,848,556 with GCF Formula

Least Common Multiple of 58,848,556 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 58,848,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,848,556) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(58,848,556) x common factors =2 x 4 = 8

LCM(58,848,556) = ( 58 × 848 × 556 ) / 8

LCM(58,848,556) = 27346304 / 8

LCM(58,848,556) = 3418288


Lets's calculate GCF of 280,971,327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3418288/1

Therefore the LCM of Fractions 58/280,848/971,556/327 is 3418288

Greatest Common Factor of 280,971,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,971,327 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 280,971,327 . The biggest common factor number is the GCF number.
So the greatest common factor 280,971,327 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 58/280, 848/971, 556/327

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 58/280, 848/971, 556/327?

Answer: LCM of Numerators as per given numbers 58/280, 848/971, 556/327 is

LCM of Numerators i.e. for 58,848,556 is 3418288

GCF of denominators i.e. for 280,971,327 is 1.

Thus, LCM of Fractions is 3418288.Finally, LCM of Fractions for 58/280, 848/971, 556/327 is 3418288.