Least Common Multiple of 92/75, 84/84, 982/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/75, 84/84, 982/459 quickly i.e. 316204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/75, 84/84, 982/459 is 316204.

LCM(92/75, 84/84, 982/459) = 316204

LCM of 92/75, 84/84, 982/459

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 92/75,84/84,982/459

Given numbers are 92/75,84/84,982/459

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 92,84,982

Least Common Multiple of Numerators i.e. LCM of 92,84,982 is 948612.

GCF of Denominators means GCF of 75,84,459 as per the given fractions.

GCF of 75,84,459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,84,982

LCM of Fractions 92/75,84/84,982/459 is 316204

2 92, 84, 982
2 46, 42, 491
23, 21, 491

∴ So the LCM of the given numbers is 2 x 2 x 23 x 21 x 491 = 948612

Least Common Multiple of 92,84,982 with GCF Formula

Least Common Multiple of 92,84,982 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 92,84,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,84,982) = 2

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

GCF(92,84,982) x common factors =2 x 4 = 8

LCM(92,84,982) = ( 92 × 84 × 982 ) / 8

LCM(92,84,982) = 7588896 / 8

LCM(92,84,982) = 948612


Lets's calculate GCF of 75,84,459

3 75, 84, 459
25, 28, 153

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 948612/3

Therefore the LCM of Fractions 92/75,84/84,982/459 is 316204

Greatest Common Factor of 75,84,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,84,459 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 75,84,459 . The biggest common factor number is the GCF number.
So the greatest common factor 75,84,459 is 3.


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 92/75, 84/84, 982/459

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 92/75, 84/84, 982/459?

Answer: LCM of Numerators as per given numbers 92/75, 84/84, 982/459 is

LCM of Numerators i.e. for 92,84,982 is 948612

GCF of denominators i.e. for 75,84,459 is 3.

Thus, LCM of Fractions is 316204.Finally, LCM of Fractions for 92/75, 84/84, 982/459 is 316204.