Least Common Multiple of 928/21, 345/56, 211/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/21, 345/56, 211/489 quickly i.e. 67553760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/21, 345/56, 211/489 is 67553760.

LCM(928/21, 345/56, 211/489) = 67553760

LCM of 928/21, 345/56, 211/489

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 928/21,345/56,211/489

Given numbers are 928/21,345/56,211/489

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 928,345,211

Least Common Multiple of Numerators i.e. LCM of 928,345,211 is 67553760.

GCF of Denominators means GCF of 21,56,489 as per the given fractions.

GCF of 21,56,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,345,211

LCM of Fractions 928/21,345/56,211/489 is 67553760

Given numbers has no common factors except 1. So, there LCM is their product i.e 67553760

Least Common Multiple of 928,345,211 with GCF Formula

Least Common Multiple of 928,345,211 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 928,345,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,345,211) = 1

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

GCF(928,345,211) x common factors =1 x 1 = 1

LCM(928,345,211) = ( 928 × 345 × 211 ) / 1

LCM(928,345,211) = 67553760 / 1

LCM(928,345,211) = 67553760


Lets's calculate GCF of 21,56,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67553760/1

Therefore the LCM of Fractions 928/21,345/56,211/489 is 67553760

Greatest Common Factor of 21,56,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,56,489 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 21,56,489 . The biggest common factor number is the GCF number.
So the greatest common factor 21,56,489 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 928/21, 345/56, 211/489

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 928/21, 345/56, 211/489?

Answer: LCM of Numerators as per given numbers 928/21, 345/56, 211/489 is

LCM of Numerators i.e. for 928,345,211 is 67553760

GCF of denominators i.e. for 21,56,489 is 1.

Thus, LCM of Fractions is 67553760.Finally, LCM of Fractions for 928/21, 345/56, 211/489 is 67553760.