Least Common Multiple of 208/694, 118/744, 486/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/694, 118/744, 486/284 quickly i.e. 1491048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/694, 118/744, 486/284 is 1491048.

LCM(208/694, 118/744, 486/284) = 1491048

LCM of 208/694, 118/744, 486/284

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 208/694,118/744,486/284

Given numbers are 208/694,118/744,486/284

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 208,118,486

Least Common Multiple of Numerators i.e. LCM of 208,118,486 is 2982096.

GCF of Denominators means GCF of 694,744,284 as per the given fractions.

GCF of 694,744,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,118,486

LCM of Fractions 208/694,118/744,486/284 is 1491048

2 208, 118, 486
104, 59, 243

∴ So the LCM of the given numbers is 2 x 104 x 59 x 243 = 2982096

Least Common Multiple of 208,118,486 with GCF Formula

Least Common Multiple of 208,118,486 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 208,118,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,118,486) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(208,118,486) x common factors =2 x 2 = 4

LCM(208,118,486) = ( 208 × 118 × 486 ) / 4

LCM(208,118,486) = 11928384 / 4

LCM(208,118,486) = 2982096


Lets's calculate GCF of 694,744,284

2 694, 744, 284
347, 372, 142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2982096/2

Therefore the LCM of Fractions 208/694,118/744,486/284 is 1491048

Greatest Common Factor of 694,744,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,744,284 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 694,744,284 . The biggest common factor number is the GCF number.
So the greatest common factor 694,744,284 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 208/694, 118/744, 486/284

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 208/694, 118/744, 486/284?

Answer: LCM of Numerators as per given numbers 208/694, 118/744, 486/284 is

LCM of Numerators i.e. for 208,118,486 is 2982096

GCF of denominators i.e. for 694,744,284 is 2.

Thus, LCM of Fractions is 1491048.Finally, LCM of Fractions for 208/694, 118/744, 486/284 is 1491048.