Least Common Multiple of 578/704, 672/810, 270/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/704, 672/810, 270/320 quickly i.e. 4369680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/704, 672/810, 270/320 is 4369680.

LCM(578/704, 672/810, 270/320) = 4369680

LCM of 578/704, 672/810, 270/320

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 578/704,672/810,270/320

Given numbers are 578/704,672/810,270/320

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 578,672,270

Least Common Multiple of Numerators i.e. LCM of 578,672,270 is 8739360.

GCF of Denominators means GCF of 704,810,320 as per the given fractions.

GCF of 704,810,320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,672,270

LCM of Fractions 578/704,672/810,270/320 is 4369680

2 578, 672, 270
3 289, 336, 135
289, 112, 45

∴ So the LCM of the given numbers is 2 x 3 x 289 x 112 x 45 = 8739360

Least Common Multiple of 578,672,270 with GCF Formula

Least Common Multiple of 578,672,270 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 578,672,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,672,270) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(578,672,270) x common factors =2 x 6 = 12

LCM(578,672,270) = ( 578 × 672 × 270 ) / 12

LCM(578,672,270) = 104872320 / 12

LCM(578,672,270) = 8739360


Lets's calculate GCF of 704,810,320

2 704, 810, 320
352, 405, 160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8739360/2

Therefore the LCM of Fractions 578/704,672/810,270/320 is 4369680

Greatest Common Factor of 704,810,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,810,320 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 704,810,320 . The biggest common factor number is the GCF number.
So the greatest common factor 704,810,320 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 578/704, 672/810, 270/320

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 578/704, 672/810, 270/320?

Answer: LCM of Numerators as per given numbers 578/704, 672/810, 270/320 is

LCM of Numerators i.e. for 578,672,270 is 8739360

GCF of denominators i.e. for 704,810,320 is 2.

Thus, LCM of Fractions is 4369680.Finally, LCM of Fractions for 578/704, 672/810, 270/320 is 4369680.