Least Common Multiple of 88/83, 828/59, 790/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/83, 828/59, 790/480 quickly i.e. 7195320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/83, 828/59, 790/480 is 7195320.

LCM(88/83, 828/59, 790/480) = 7195320

LCM of 88/83, 828/59, 790/480

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 88/83,828/59,790/480

Given numbers are 88/83,828/59,790/480

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 88,828,790

Least Common Multiple of Numerators i.e. LCM of 88,828,790 is 7195320.

GCF of Denominators means GCF of 83,59,480 as per the given fractions.

GCF of 83,59,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,828,790

LCM of Fractions 88/83,828/59,790/480 is 7195320

2 88, 828, 790
2 44, 414, 395
22, 207, 395

∴ So the LCM of the given numbers is 2 x 2 x 22 x 207 x 395 = 7195320

Least Common Multiple of 88,828,790 with GCF Formula

Least Common Multiple of 88,828,790 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 88,828,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,828,790) = 2

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

GCF(88,828,790) x common factors =2 x 4 = 8

LCM(88,828,790) = ( 88 × 828 × 790 ) / 8

LCM(88,828,790) = 57562560 / 8

LCM(88,828,790) = 7195320


Lets's calculate GCF of 83,59,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7195320/1

Therefore the LCM of Fractions 88/83,828/59,790/480 is 7195320

Greatest Common Factor of 83,59,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,59,480 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 83,59,480 . The biggest common factor number is the GCF number.
So the greatest common factor 83,59,480 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 88/83, 828/59, 790/480

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 88/83, 828/59, 790/480?

Answer: LCM of Numerators as per given numbers 88/83, 828/59, 790/480 is

LCM of Numerators i.e. for 88,828,790 is 7195320

GCF of denominators i.e. for 83,59,480 is 1.

Thus, LCM of Fractions is 7195320.Finally, LCM of Fractions for 88/83, 828/59, 790/480 is 7195320.