Least Common Multiple of 88/458, 10/489, 691/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/458, 10/489, 691/864 quickly i.e. 304040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/458, 10/489, 691/864 is 304040.

LCM(88/458, 10/489, 691/864) = 304040

LCM of 88/458, 10/489, 691/864

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 88/458,10/489,691/864

Given numbers are 88/458,10/489,691/864

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 88,10,691

Least Common Multiple of Numerators i.e. LCM of 88,10,691 is 304040.

GCF of Denominators means GCF of 458,489,864 as per the given fractions.

GCF of 458,489,864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,10,691

LCM of Fractions 88/458,10/489,691/864 is 304040

2 88, 10, 691
44, 5, 691

∴ So the LCM of the given numbers is 2 x 44 x 5 x 691 = 304040

Least Common Multiple of 88,10,691 with GCF Formula

Least Common Multiple of 88,10,691 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 88,10,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,10,691) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(88,10,691) x common factors =1 x 2 = 2

LCM(88,10,691) = ( 88 × 10 × 691 ) / 2

LCM(88,10,691) = 608080 / 2

LCM(88,10,691) = 304040


Lets's calculate GCF of 458,489,864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304040/1

Therefore the LCM of Fractions 88/458,10/489,691/864 is 304040

Greatest Common Factor of 458,489,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,489,864 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 489

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

1,3,163,489

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 458,489,864 . The biggest common factor number is the GCF number.
So the greatest common factor 458,489,864 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 88/458, 10/489, 691/864

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 88/458, 10/489, 691/864?

Answer: LCM of Numerators as per given numbers 88/458, 10/489, 691/864 is

LCM of Numerators i.e. for 88,10,691 is 304040

GCF of denominators i.e. for 458,489,864 is 1.

Thus, LCM of Fractions is 304040.Finally, LCM of Fractions for 88/458, 10/489, 691/864 is 304040.