Least Common Multiple of 84/14, 25/83, 929/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/14, 25/83, 929/288 quickly i.e. 1950900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/14, 25/83, 929/288 is 1950900.

LCM(84/14, 25/83, 929/288) = 1950900

LCM of 84/14, 25/83, 929/288

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 84/14,25/83,929/288

Given numbers are 84/14,25/83,929/288

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 84,25,929

Least Common Multiple of Numerators i.e. LCM of 84,25,929 is 1950900.

GCF of Denominators means GCF of 14,83,288 as per the given fractions.

GCF of 14,83,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,25,929

LCM of Fractions 84/14,25/83,929/288 is 1950900

Given numbers has no common factors except 1. So, there LCM is their product i.e 1950900

Least Common Multiple of 84,25,929 with GCF Formula

Least Common Multiple of 84,25,929 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 84,25,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,25,929) = 1

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

GCF(84,25,929) x common factors =1 x 1 = 1

LCM(84,25,929) = ( 84 × 25 × 929 ) / 1

LCM(84,25,929) = 1950900 / 1

LCM(84,25,929) = 1950900


Lets's calculate GCF of 14,83,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1950900/1

Therefore the LCM of Fractions 84/14,25/83,929/288 is 1950900

Greatest Common Factor of 14,83,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,83,288 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

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

Greatest Common Factor

We found the factors 14,83,288 . The biggest common factor number is the GCF number.
So the greatest common factor 14,83,288 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/14, 25/83, 929/288

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 84/14, 25/83, 929/288?

Answer: LCM of Numerators as per given numbers 84/14, 25/83, 929/288 is

LCM of Numerators i.e. for 84,25,929 is 1950900

GCF of denominators i.e. for 14,83,288 is 1.

Thus, LCM of Fractions is 1950900.Finally, LCM of Fractions for 84/14, 25/83, 929/288 is 1950900.