Least Common Multiple of 2489/377, 6853/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2489/377, 6853/338 quickly i.e. 17057117/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2489/377, 6853/338 is 17057117/13.

LCM(2489/377, 6853/338) = 17057117/13

LCM of 2489/377, 6853/338

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 2489/377,6853/338

Given numbers are 2489/377,6853/338

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 2489,6853

Least Common Multiple of Numerators i.e. LCM of 2489,6853 is 17057117.

GCF of Denominators means GCF of 377,338 as per the given fractions.

GCF of 377,338 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2489,6853

LCM of Fractions 2489/377,6853/338 is 17057117/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 17057117

Least Common Multiple of 2489,6853 with GCF Formula

Least Common Multiple of 2489,6853 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 2489,6853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2489,6853) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(2489,6853) x common factors =1 x 1 = 1

LCM(2489,6853) = ( 2489 × 6853 ) / 1

LCM(2489,6853) = 17057117 / 1

LCM(2489,6853) = 17057117


Lets's calculate GCF of 377,338

13 377, 338
29, 26

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17057117/13

Therefore the LCM of Fractions 2489/377,6853/338 is 17057117/13

Greatest Common Factor of 377,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,338 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 377,338 . The biggest common factor number is the GCF number.
So the greatest common factor 377,338 is 13.


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 2489/377, 6853/338

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 2489/377, 6853/338?

Answer: LCM of Numerators as per given numbers 2489/377, 6853/338 is

LCM of Numerators i.e. for 2489,6853 is 17057117

GCF of denominators i.e. for 377,338 is 13.

Thus, LCM of Fractions is 17057117/13.Finally, LCM of Fractions for 2489/377, 6853/338 is 17057117/13.