Least Common Multiple of 68/52, 54/49, 192/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/52, 54/49, 192/245 quickly i.e. 29376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/52, 54/49, 192/245 is 29376.

LCM(68/52, 54/49, 192/245) = 29376

LCM of 68/52, 54/49, 192/245

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 68/52,54/49,192/245

Given numbers are 68/52,54/49,192/245

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 68,54,192

Least Common Multiple of Numerators i.e. LCM of 68,54,192 is 29376.

GCF of Denominators means GCF of 52,49,245 as per the given fractions.

GCF of 52,49,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,54,192

LCM of Fractions 68/52,54/49,192/245 is 29376

2 68, 54, 192
2 34, 27, 96
3 17, 27, 48
17, 9, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 9 x 16 = 29376

Least Common Multiple of 68,54,192 with GCF Formula

Least Common Multiple of 68,54,192 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 68,54,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,54,192) = 2

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

GCF(68,54,192) x common factors =2 x 12 = 24

LCM(68,54,192) = ( 68 × 54 × 192 ) / 24

LCM(68,54,192) = 705024 / 24

LCM(68,54,192) = 29376


Lets's calculate GCF of 52,49,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29376/1

Therefore the LCM of Fractions 68/52,54/49,192/245 is 29376

Greatest Common Factor of 52,49,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,49,245 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 52,49,245 . The biggest common factor number is the GCF number.
So the greatest common factor 52,49,245 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 68/52, 54/49, 192/245

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 68/52, 54/49, 192/245?

Answer: LCM of Numerators as per given numbers 68/52, 54/49, 192/245 is

LCM of Numerators i.e. for 68,54,192 is 29376

GCF of denominators i.e. for 52,49,245 is 1.

Thus, LCM of Fractions is 29376.Finally, LCM of Fractions for 68/52, 54/49, 192/245 is 29376.