Least Common Multiple of 208/825, 629/346, 940/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/825, 629/346, 940/296 quickly i.e. 30745520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/825, 629/346, 940/296 is 30745520.

LCM(208/825, 629/346, 940/296) = 30745520

LCM of 208/825, 629/346, 940/296

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 208/825,629/346,940/296

Given numbers are 208/825,629/346,940/296

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 208,629,940

Least Common Multiple of Numerators i.e. LCM of 208,629,940 is 30745520.

GCF of Denominators means GCF of 825,346,296 as per the given fractions.

GCF of 825,346,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,629,940

LCM of Fractions 208/825,629/346,940/296 is 30745520

2 208, 629, 940
2 104, 629, 470
52, 629, 235

∴ So the LCM of the given numbers is 2 x 2 x 52 x 629 x 235 = 30745520

Least Common Multiple of 208,629,940 with GCF Formula

Least Common Multiple of 208,629,940 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 208,629,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,629,940) = 1

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

GCF(208,629,940) x common factors =1 x 4 = 4

LCM(208,629,940) = ( 208 × 629 × 940 ) / 4

LCM(208,629,940) = 122982080 / 4

LCM(208,629,940) = 30745520


Lets's calculate GCF of 825,346,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30745520/1

Therefore the LCM of Fractions 208/825,629/346,940/296 is 30745520

Greatest Common Factor of 825,346,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,346,296 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 825,346,296 . The biggest common factor number is the GCF number.
So the greatest common factor 825,346,296 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 208/825, 629/346, 940/296

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 208/825, 629/346, 940/296?

Answer: LCM of Numerators as per given numbers 208/825, 629/346, 940/296 is

LCM of Numerators i.e. for 208,629,940 is 30745520

GCF of denominators i.e. for 825,346,296 is 1.

Thus, LCM of Fractions is 30745520.Finally, LCM of Fractions for 208/825, 629/346, 940/296 is 30745520.