Least Common Multiple of 140/48, 5744/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/48, 5744/454 quickly i.e. 100520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/48, 5744/454 is 100520.

LCM(140/48, 5744/454) = 100520

LCM of 140/48, 5744/454

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 140/48,5744/454

Given numbers are 140/48,5744/454

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 140,5744

Least Common Multiple of Numerators i.e. LCM of 140,5744 is 201040.

GCF of Denominators means GCF of 48,454 as per the given fractions.

GCF of 48,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,5744

LCM of Fractions 140/48,5744/454 is 100520

2 140, 5744
2 70, 2872
35, 1436

∴ So the LCM of the given numbers is 2 x 2 x 35 x 1436 = 201040

Least Common Multiple of 140,5744 with GCF Formula

Least Common Multiple of 140,5744 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 140,5744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,5744) = 4

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

GCF(140,5744) x common factors =4 x 1 = 4

LCM(140,5744) = ( 140 × 5744 ) / 4

LCM(140,5744) = 804160 / 4

LCM(140,5744) = 201040


Lets's calculate GCF of 48,454

2 48, 454
24, 227

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201040/2

Therefore the LCM of Fractions 140/48,5744/454 is 100520

Greatest Common Factor of 48,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,454 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 48,454 . The biggest common factor number is the GCF number.
So the greatest common factor 48,454 is 2.


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 140/48, 5744/454

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 140/48, 5744/454?

Answer: LCM of Numerators as per given numbers 140/48, 5744/454 is

LCM of Numerators i.e. for 140,5744 is 201040

GCF of denominators i.e. for 48,454 is 2.

Thus, LCM of Fractions is 100520.Finally, LCM of Fractions for 140/48, 5744/454 is 100520.