Least Common Multiple of 88/288, 46/732, 565/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/288, 46/732, 565/850 quickly i.e. 571780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/288, 46/732, 565/850 is 571780.

LCM(88/288, 46/732, 565/850) = 571780

LCM of 88/288, 46/732, 565/850

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 88/288,46/732,565/850

Given numbers are 88/288,46/732,565/850

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 88,46,565

Least Common Multiple of Numerators i.e. LCM of 88,46,565 is 1143560.

GCF of Denominators means GCF of 288,732,850 as per the given fractions.

GCF of 288,732,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,46,565

LCM of Fractions 88/288,46/732,565/850 is 571780

2 88, 46, 565
44, 23, 565

∴ So the LCM of the given numbers is 2 x 44 x 23 x 565 = 1143560

Least Common Multiple of 88,46,565 with GCF Formula

Least Common Multiple of 88,46,565 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 88,46,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,46,565) = 1

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

GCF(88,46,565) x common factors =1 x 2 = 2

LCM(88,46,565) = ( 88 × 46 × 565 ) / 2

LCM(88,46,565) = 2287120 / 2

LCM(88,46,565) = 1143560


Lets's calculate GCF of 288,732,850

2 288, 732, 850
144, 366, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1143560/2

Therefore the LCM of Fractions 88/288,46/732,565/850 is 571780

Greatest Common Factor of 288,732,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,732,850 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 288,732,850 . The biggest common factor number is the GCF number.
So the greatest common factor 288,732,850 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 88/288, 46/732, 565/850

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 88/288, 46/732, 565/850?

Answer: LCM of Numerators as per given numbers 88/288, 46/732, 565/850 is

LCM of Numerators i.e. for 88,46,565 is 1143560

GCF of denominators i.e. for 288,732,850 is 2.

Thus, LCM of Fractions is 571780.Finally, LCM of Fractions for 88/288, 46/732, 565/850 is 571780.