Least Common Multiple of 42/40, 57/48, 199/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/40, 57/48, 199/554 quickly i.e. 79401 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/40, 57/48, 199/554 is 79401.

LCM(42/40, 57/48, 199/554) = 79401

LCM of 42/40, 57/48, 199/554

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 42/40,57/48,199/554

Given numbers are 42/40,57/48,199/554

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 42,57,199

Least Common Multiple of Numerators i.e. LCM of 42,57,199 is 158802.

GCF of Denominators means GCF of 40,48,554 as per the given fractions.

GCF of 40,48,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,57,199

LCM of Fractions 42/40,57/48,199/554 is 79401

3 42, 57, 199
14, 19, 199

∴ So the LCM of the given numbers is 3 x 14 x 19 x 199 = 158802

Least Common Multiple of 42,57,199 with GCF Formula

Least Common Multiple of 42,57,199 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 42,57,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,57,199) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(42,57,199) x common factors =1 x 3 = 3

LCM(42,57,199) = ( 42 × 57 × 199 ) / 3

LCM(42,57,199) = 476406 / 3

LCM(42,57,199) = 158802


Lets's calculate GCF of 40,48,554

2 40, 48, 554
20, 24, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158802/2

Therefore the LCM of Fractions 42/40,57/48,199/554 is 79401

Greatest Common Factor of 40,48,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,48,554 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

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 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 40,48,554 . The biggest common factor number is the GCF number.
So the greatest common factor 40,48,554 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 42/40, 57/48, 199/554

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 42/40, 57/48, 199/554?

Answer: LCM of Numerators as per given numbers 42/40, 57/48, 199/554 is

LCM of Numerators i.e. for 42,57,199 is 158802

GCF of denominators i.e. for 40,48,554 is 2.

Thus, LCM of Fractions is 79401.Finally, LCM of Fractions for 42/40, 57/48, 199/554 is 79401.