Least Common Multiple of 680/43, 698/16, 556/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/43, 698/16, 556/600 quickly i.e. 32987480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/43, 698/16, 556/600 is 32987480.

LCM(680/43, 698/16, 556/600) = 32987480

LCM of 680/43, 698/16, 556/600

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 680/43,698/16,556/600

Given numbers are 680/43,698/16,556/600

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 680,698,556

Least Common Multiple of Numerators i.e. LCM of 680,698,556 is 32987480.

GCF of Denominators means GCF of 43,16,600 as per the given fractions.

GCF of 43,16,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,698,556

LCM of Fractions 680/43,698/16,556/600 is 32987480

2 680, 698, 556
2 340, 349, 278
170, 349, 139

∴ So the LCM of the given numbers is 2 x 2 x 170 x 349 x 139 = 32987480

Least Common Multiple of 680,698,556 with GCF Formula

Least Common Multiple of 680,698,556 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 680,698,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,698,556) = 2

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

GCF(680,698,556) x common factors =2 x 4 = 8

LCM(680,698,556) = ( 680 × 698 × 556 ) / 8

LCM(680,698,556) = 263899840 / 8

LCM(680,698,556) = 32987480


Lets's calculate GCF of 43,16,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32987480/1

Therefore the LCM of Fractions 680/43,698/16,556/600 is 32987480

Greatest Common Factor of 43,16,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,16,600 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 43,16,600 . The biggest common factor number is the GCF number.
So the greatest common factor 43,16,600 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 680/43, 698/16, 556/600

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 680/43, 698/16, 556/600?

Answer: LCM of Numerators as per given numbers 680/43, 698/16, 556/600 is

LCM of Numerators i.e. for 680,698,556 is 32987480

GCF of denominators i.e. for 43,16,600 is 1.

Thus, LCM of Fractions is 32987480.Finally, LCM of Fractions for 680/43, 698/16, 556/600 is 32987480.