Least Common Multiple of 38/354, 48/887, 455/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/354, 48/887, 455/426 quickly i.e. 414960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/354, 48/887, 455/426 is 414960.

LCM(38/354, 48/887, 455/426) = 414960

LCM of 38/354, 48/887, 455/426

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 38/354,48/887,455/426

Given numbers are 38/354,48/887,455/426

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 38,48,455

Least Common Multiple of Numerators i.e. LCM of 38,48,455 is 414960.

GCF of Denominators means GCF of 354,887,426 as per the given fractions.

GCF of 354,887,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,48,455

LCM of Fractions 38/354,48/887,455/426 is 414960

2 38, 48, 455
19, 24, 455

∴ So the LCM of the given numbers is 2 x 19 x 24 x 455 = 414960

Least Common Multiple of 38,48,455 with GCF Formula

Least Common Multiple of 38,48,455 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 38,48,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,48,455) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,48,455) x common factors =1 x 2 = 2

LCM(38,48,455) = ( 38 × 48 × 455 ) / 2

LCM(38,48,455) = 829920 / 2

LCM(38,48,455) = 414960


Lets's calculate GCF of 354,887,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414960/1

Therefore the LCM of Fractions 38/354,48/887,455/426 is 414960

Greatest Common Factor of 354,887,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,887,426 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 354,887,426 . The biggest common factor number is the GCF number.
So the greatest common factor 354,887,426 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 38/354, 48/887, 455/426

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 38/354, 48/887, 455/426?

Answer: LCM of Numerators as per given numbers 38/354, 48/887, 455/426 is

LCM of Numerators i.e. for 38,48,455 is 414960

GCF of denominators i.e. for 354,887,426 is 1.

Thus, LCM of Fractions is 414960.Finally, LCM of Fractions for 38/354, 48/887, 455/426 is 414960.