Least Common Multiple of 442/177, 494/550, 296/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 442/177, 494/550, 296/610 quickly i.e. 1242904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 442/177, 494/550, 296/610 is 1242904.

LCM(442/177, 494/550, 296/610) = 1242904

LCM of 442/177, 494/550, 296/610

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 442/177,494/550,296/610

Given numbers are 442/177,494/550,296/610

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 442,494,296

Least Common Multiple of Numerators i.e. LCM of 442,494,296 is 1242904.

GCF of Denominators means GCF of 177,550,610 as per the given fractions.

GCF of 177,550,610 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 442,494,296

LCM of Fractions 442/177,494/550,296/610 is 1242904

2 442, 494, 296
13 221, 247, 148
17, 19, 148

∴ So the LCM of the given numbers is 2 x 13 x 17 x 19 x 148 = 1242904

Least Common Multiple of 442,494,296 with GCF Formula

Least Common Multiple of 442,494,296 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 442,494,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,494,296) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(442,494,296) x common factors =2 x 26 = 52

LCM(442,494,296) = ( 442 × 494 × 296 ) / 52

LCM(442,494,296) = 64631008 / 52

LCM(442,494,296) = 1242904


Lets's calculate GCF of 177,550,610

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1242904/1

Therefore the LCM of Fractions 442/177,494/550,296/610 is 1242904

Greatest Common Factor of 177,550,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,550,610 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 177,550,610 . The biggest common factor number is the GCF number.
So the greatest common factor 177,550,610 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 442/177, 494/550, 296/610

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 442/177, 494/550, 296/610?

Answer: LCM of Numerators as per given numbers 442/177, 494/550, 296/610 is

LCM of Numerators i.e. for 442,494,296 is 1242904

GCF of denominators i.e. for 177,550,610 is 1.

Thus, LCM of Fractions is 1242904.Finally, LCM of Fractions for 442/177, 494/550, 296/610 is 1242904.