Least Common Multiple of 670/441, 816/574, 344/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/441, 816/574, 344/568 quickly i.e. 11754480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/441, 816/574, 344/568 is 11754480.

LCM(670/441, 816/574, 344/568) = 11754480

LCM of 670/441, 816/574, 344/568

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 670/441,816/574,344/568

Given numbers are 670/441,816/574,344/568

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 670,816,344

Least Common Multiple of Numerators i.e. LCM of 670,816,344 is 11754480.

GCF of Denominators means GCF of 441,574,568 as per the given fractions.

GCF of 441,574,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,816,344

LCM of Fractions 670/441,816/574,344/568 is 11754480

2 670, 816, 344
2 335, 408, 172
2 335, 204, 86
335, 102, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 335 x 102 x 43 = 11754480

Least Common Multiple of 670,816,344 with GCF Formula

Least Common Multiple of 670,816,344 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 670,816,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,816,344) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(670,816,344) x common factors =2 x 8 = 16

LCM(670,816,344) = ( 670 × 816 × 344 ) / 16

LCM(670,816,344) = 188071680 / 16

LCM(670,816,344) = 11754480


Lets's calculate GCF of 441,574,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11754480/1

Therefore the LCM of Fractions 670/441,816/574,344/568 is 11754480

Greatest Common Factor of 441,574,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,574,568 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 441,574,568 . The biggest common factor number is the GCF number.
So the greatest common factor 441,574,568 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 670/441, 816/574, 344/568

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 670/441, 816/574, 344/568?

Answer: LCM of Numerators as per given numbers 670/441, 816/574, 344/568 is

LCM of Numerators i.e. for 670,816,344 is 11754480

GCF of denominators i.e. for 441,574,568 is 1.

Thus, LCM of Fractions is 11754480.Finally, LCM of Fractions for 670/441, 816/574, 344/568 is 11754480.