Least Common Multiple of 208/92, 475/25, 492/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/92, 475/25, 492/60 quickly i.e. 12152400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/92, 475/25, 492/60 is 12152400.

LCM(208/92, 475/25, 492/60) = 12152400

LCM of 208/92, 475/25, 492/60

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 208/92,475/25,492/60

Given numbers are 208/92,475/25,492/60

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 208,475,492

Least Common Multiple of Numerators i.e. LCM of 208,475,492 is 12152400.

GCF of Denominators means GCF of 92,25,60 as per the given fractions.

GCF of 92,25,60 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,475,492

LCM of Fractions 208/92,475/25,492/60 is 12152400

2 208, 475, 492
2 104, 475, 246
52, 475, 123

∴ So the LCM of the given numbers is 2 x 2 x 52 x 475 x 123 = 12152400

Least Common Multiple of 208,475,492 with GCF Formula

Least Common Multiple of 208,475,492 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 208,475,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,475,492) = 1

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

GCF(208,475,492) x common factors =1 x 4 = 4

LCM(208,475,492) = ( 208 × 475 × 492 ) / 4

LCM(208,475,492) = 48609600 / 4

LCM(208,475,492) = 12152400


Lets's calculate GCF of 92,25,60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12152400/1

Therefore the LCM of Fractions 208/92,475/25,492/60 is 12152400

Greatest Common Factor of 92,25,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,25,60 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 92,25,60 . The biggest common factor number is the GCF number.
So the greatest common factor 92,25,60 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 208/92, 475/25, 492/60

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 208/92, 475/25, 492/60?

Answer: LCM of Numerators as per given numbers 208/92, 475/25, 492/60 is

LCM of Numerators i.e. for 208,475,492 is 12152400

GCF of denominators i.e. for 92,25,60 is 1.

Thus, LCM of Fractions is 12152400.Finally, LCM of Fractions for 208/92, 475/25, 492/60 is 12152400.