Least Common Multiple of 344/376, 497/790, 276/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/376, 497/790, 276/385 quickly i.e. 11796792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/376, 497/790, 276/385 is 11796792.

LCM(344/376, 497/790, 276/385) = 11796792

LCM of 344/376, 497/790, 276/385

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 344/376,497/790,276/385

Given numbers are 344/376,497/790,276/385

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 344,497,276

Least Common Multiple of Numerators i.e. LCM of 344,497,276 is 11796792.

GCF of Denominators means GCF of 376,790,385 as per the given fractions.

GCF of 376,790,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,497,276

LCM of Fractions 344/376,497/790,276/385 is 11796792

2 344, 497, 276
2 172, 497, 138
86, 497, 69

∴ So the LCM of the given numbers is 2 x 2 x 86 x 497 x 69 = 11796792

Least Common Multiple of 344,497,276 with GCF Formula

Least Common Multiple of 344,497,276 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 344,497,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,497,276) = 1

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

GCF(344,497,276) x common factors =1 x 4 = 4

LCM(344,497,276) = ( 344 × 497 × 276 ) / 4

LCM(344,497,276) = 47187168 / 4

LCM(344,497,276) = 11796792


Lets's calculate GCF of 376,790,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11796792/1

Therefore the LCM of Fractions 344/376,497/790,276/385 is 11796792

Greatest Common Factor of 376,790,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,790,385 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 376,790,385 . The biggest common factor number is the GCF number.
So the greatest common factor 376,790,385 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 344/376, 497/790, 276/385

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 344/376, 497/790, 276/385?

Answer: LCM of Numerators as per given numbers 344/376, 497/790, 276/385 is

LCM of Numerators i.e. for 344,497,276 is 11796792

GCF of denominators i.e. for 376,790,385 is 1.

Thus, LCM of Fractions is 11796792.Finally, LCM of Fractions for 344/376, 497/790, 276/385 is 11796792.