Least Common Multiple of 428/78, 263/92, 168/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/78, 263/92, 168/353 quickly i.e. 4727688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/78, 263/92, 168/353 is 4727688.

LCM(428/78, 263/92, 168/353) = 4727688

LCM of 428/78, 263/92, 168/353

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 428/78,263/92,168/353

Given numbers are 428/78,263/92,168/353

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 428,263,168

Least Common Multiple of Numerators i.e. LCM of 428,263,168 is 4727688.

GCF of Denominators means GCF of 78,92,353 as per the given fractions.

GCF of 78,92,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,263,168

LCM of Fractions 428/78,263/92,168/353 is 4727688

2 428, 263, 168
2 214, 263, 84
107, 263, 42

∴ So the LCM of the given numbers is 2 x 2 x 107 x 263 x 42 = 4727688

Least Common Multiple of 428,263,168 with GCF Formula

Least Common Multiple of 428,263,168 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 428,263,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,263,168) = 1

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

GCF(428,263,168) x common factors =1 x 4 = 4

LCM(428,263,168) = ( 428 × 263 × 168 ) / 4

LCM(428,263,168) = 18910752 / 4

LCM(428,263,168) = 4727688


Lets's calculate GCF of 78,92,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4727688/1

Therefore the LCM of Fractions 428/78,263/92,168/353 is 4727688

Greatest Common Factor of 78,92,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,92,353 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 92

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

1,2,4,23,46,92

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 78,92,353 . The biggest common factor number is the GCF number.
So the greatest common factor 78,92,353 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 428/78, 263/92, 168/353

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 428/78, 263/92, 168/353?

Answer: LCM of Numerators as per given numbers 428/78, 263/92, 168/353 is

LCM of Numerators i.e. for 428,263,168 is 4727688

GCF of denominators i.e. for 78,92,353 is 1.

Thus, LCM of Fractions is 4727688.Finally, LCM of Fractions for 428/78, 263/92, 168/353 is 4727688.