Least Common Multiple of 88/768, 537/153, 819/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/768, 537/153, 819/549 quickly i.e. 4300296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/768, 537/153, 819/549 is 4300296.

LCM(88/768, 537/153, 819/549) = 4300296

LCM of 88/768, 537/153, 819/549

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 88/768,537/153,819/549

Given numbers are 88/768,537/153,819/549

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 88,537,819

Least Common Multiple of Numerators i.e. LCM of 88,537,819 is 12900888.

GCF of Denominators means GCF of 768,153,549 as per the given fractions.

GCF of 768,153,549 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,537,819

LCM of Fractions 88/768,537/153,819/549 is 4300296

3 88, 537, 819
88, 179, 273

∴ So the LCM of the given numbers is 3 x 88 x 179 x 273 = 12900888

Least Common Multiple of 88,537,819 with GCF Formula

Least Common Multiple of 88,537,819 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 88,537,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,537,819) = 1

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

GCF(88,537,819) x common factors =1 x 3 = 3

LCM(88,537,819) = ( 88 × 537 × 819 ) / 3

LCM(88,537,819) = 38702664 / 3

LCM(88,537,819) = 12900888


Lets's calculate GCF of 768,153,549

3 768, 153, 549
256, 51, 183

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12900888/3

Therefore the LCM of Fractions 88/768,537/153,819/549 is 4300296

Greatest Common Factor of 768,153,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,153,549 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 768,153,549 . The biggest common factor number is the GCF number.
So the greatest common factor 768,153,549 is 3.


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 88/768, 537/153, 819/549

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 88/768, 537/153, 819/549?

Answer: LCM of Numerators as per given numbers 88/768, 537/153, 819/549 is

LCM of Numerators i.e. for 88,537,819 is 12900888

GCF of denominators i.e. for 768,153,549 is 3.

Thus, LCM of Fractions is 4300296.Finally, LCM of Fractions for 88/768, 537/153, 819/549 is 4300296.