Least Common Multiple of 92/487, 450/532, 168/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/487, 450/532, 168/260 quickly i.e. 289800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/487, 450/532, 168/260 is 289800.

LCM(92/487, 450/532, 168/260) = 289800

LCM of 92/487, 450/532, 168/260

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 92/487,450/532,168/260

Given numbers are 92/487,450/532,168/260

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 92,450,168

Least Common Multiple of Numerators i.e. LCM of 92,450,168 is 289800.

GCF of Denominators means GCF of 487,532,260 as per the given fractions.

GCF of 487,532,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,450,168

LCM of Fractions 92/487,450/532,168/260 is 289800

2 92, 450, 168
2 46, 225, 84
3 23, 225, 42
23, 75, 14

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 75 x 14 = 289800

Least Common Multiple of 92,450,168 with GCF Formula

Least Common Multiple of 92,450,168 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 92,450,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,450,168) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(92,450,168) x common factors =2 x 12 = 24

LCM(92,450,168) = ( 92 × 450 × 168 ) / 24

LCM(92,450,168) = 6955200 / 24

LCM(92,450,168) = 289800


Lets's calculate GCF of 487,532,260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289800/1

Therefore the LCM of Fractions 92/487,450/532,168/260 is 289800

Greatest Common Factor of 487,532,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,532,260 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 487,532,260 . The biggest common factor number is the GCF number.
So the greatest common factor 487,532,260 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 92/487, 450/532, 168/260

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 92/487, 450/532, 168/260?

Answer: LCM of Numerators as per given numbers 92/487, 450/532, 168/260 is

LCM of Numerators i.e. for 92,450,168 is 289800

GCF of denominators i.e. for 487,532,260 is 1.

Thus, LCM of Fractions is 289800.Finally, LCM of Fractions for 92/487, 450/532, 168/260 is 289800.