Least Common Multiple of 255/494, 802/772, 278/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 255/494, 802/772, 278/170 quickly i.e. 14213445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/494, 802/772, 278/170 is 14213445.

LCM(255/494, 802/772, 278/170) = 14213445

LCM of 255/494, 802/772, 278/170

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 255/494,802/772,278/170

Given numbers are 255/494,802/772,278/170

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 255,802,278

Least Common Multiple of Numerators i.e. LCM of 255,802,278 is 28426890.

GCF of Denominators means GCF of 494,772,170 as per the given fractions.

GCF of 494,772,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,802,278

LCM of Fractions 255/494,802/772,278/170 is 14213445

2 255, 802, 278
255, 401, 139

∴ So the LCM of the given numbers is 2 x 255 x 401 x 139 = 28426890

Least Common Multiple of 255,802,278 with GCF Formula

Least Common Multiple of 255,802,278 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 255,802,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,802,278) = 1

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

GCF(255,802,278) x common factors =1 x 2 = 2

LCM(255,802,278) = ( 255 × 802 × 278 ) / 2

LCM(255,802,278) = 56853780 / 2

LCM(255,802,278) = 28426890


Lets's calculate GCF of 494,772,170

2 494, 772, 170
247, 386, 85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28426890/2

Therefore the LCM of Fractions 255/494,802/772,278/170 is 14213445

Greatest Common Factor of 494,772,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,772,170 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 494,772,170 . The biggest common factor number is the GCF number.
So the greatest common factor 494,772,170 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 255/494, 802/772, 278/170

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 255/494, 802/772, 278/170?

Answer: LCM of Numerators as per given numbers 255/494, 802/772, 278/170 is

LCM of Numerators i.e. for 255,802,278 is 28426890

GCF of denominators i.e. for 494,772,170 is 2.

Thus, LCM of Fractions is 14213445.Finally, LCM of Fractions for 255/494, 802/772, 278/170 is 14213445.