Least Common Multiple of 469/95, 378/5358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/95, 378/5358 quickly i.e. 25326/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/95, 378/5358 is 25326/19.

LCM(469/95, 378/5358) = 25326/19

LCM of 469/95, 378/5358

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 469/95,378/5358

Given numbers are 469/95,378/5358

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 469,378

Least Common Multiple of Numerators i.e. LCM of 469,378 is 25326.

GCF of Denominators means GCF of 95,5358 as per the given fractions.

GCF of 95,5358 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,378

LCM of Fractions 469/95,378/5358 is 25326/19

7 469, 378
67, 54

∴ So the LCM of the given numbers is 7 x 67 x 54 = 25326

Least Common Multiple of 469,378 with GCF Formula

Least Common Multiple of 469,378 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 469,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,378) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(469,378) x common factors =7 x 1 = 7

LCM(469,378) = ( 469 × 378 ) / 7

LCM(469,378) = 177282 / 7

LCM(469,378) = 25326


Lets's calculate GCF of 95,5358

19 95, 5358
5, 282

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25326/19

Therefore the LCM of Fractions 469/95,378/5358 is 25326/19

Greatest Common Factor of 95,5358 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,5358 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 5358

List of positive integer factors of 5358 that divides 5358 without a remainder.

1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358

Greatest Common Factor

We found the factors 95,5358 . The biggest common factor number is the GCF number.
So the greatest common factor 95,5358 is 19.


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 469/95, 378/5358

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 469/95, 378/5358?

Answer: LCM of Numerators as per given numbers 469/95, 378/5358 is

LCM of Numerators i.e. for 469,378 is 25326

GCF of denominators i.e. for 95,5358 is 19.

Thus, LCM of Fractions is 25326/19.Finally, LCM of Fractions for 469/95, 378/5358 is 25326/19.