Least Common Multiple of 114/288, 931/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/288, 931/350 quickly i.e. 2793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/288, 931/350 is 2793.

LCM(114/288, 931/350) = 2793

LCM of 114/288, 931/350

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 114/288,931/350

Given numbers are 114/288,931/350

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 114,931

Least Common Multiple of Numerators i.e. LCM of 114,931 is 5586.

GCF of Denominators means GCF of 288,350 as per the given fractions.

GCF of 288,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,931

LCM of Fractions 114/288,931/350 is 2793

19 114, 931
6, 49

∴ So the LCM of the given numbers is 19 x 6 x 49 = 5586

Least Common Multiple of 114,931 with GCF Formula

Least Common Multiple of 114,931 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 114,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,931) = 19

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

GCF(114,931) x common factors =19 x 1 = 19

LCM(114,931) = ( 114 × 931 ) / 19

LCM(114,931) = 106134 / 19

LCM(114,931) = 5586


Lets's calculate GCF of 288,350

2 288, 350
144, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5586/2

Therefore the LCM of Fractions 114/288,931/350 is 2793

Greatest Common Factor of 288,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,350 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 288,350 . The biggest common factor number is the GCF number.
So the greatest common factor 288,350 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 114/288, 931/350

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 114/288, 931/350?

Answer: LCM of Numerators as per given numbers 114/288, 931/350 is

LCM of Numerators i.e. for 114,931 is 5586

GCF of denominators i.e. for 288,350 is 2.

Thus, LCM of Fractions is 2793.Finally, LCM of Fractions for 114/288, 931/350 is 2793.