Least Common Multiple of 42/448, 1994/7274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/448, 1994/7274 quickly i.e. 20937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/448, 1994/7274 is 20937.

LCM(42/448, 1994/7274) = 20937

LCM of 42/448, 1994/7274

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 42/448,1994/7274

Given numbers are 42/448,1994/7274

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 42,1994

Least Common Multiple of Numerators i.e. LCM of 42,1994 is 41874.

GCF of Denominators means GCF of 448,7274 as per the given fractions.

GCF of 448,7274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,1994

LCM of Fractions 42/448,1994/7274 is 20937

2 42, 1994
21, 997

∴ So the LCM of the given numbers is 2 x 21 x 997 = 41874

Least Common Multiple of 42,1994 with GCF Formula

Least Common Multiple of 42,1994 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 42,1994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,1994) = 2

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

GCF(42,1994) x common factors =2 x 1 = 2

LCM(42,1994) = ( 42 × 1994 ) / 2

LCM(42,1994) = 83748 / 2

LCM(42,1994) = 41874


Lets's calculate GCF of 448,7274

2 448, 7274
224, 3637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41874/2

Therefore the LCM of Fractions 42/448,1994/7274 is 20937

Greatest Common Factor of 448,7274 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,7274 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 7274

List of positive integer factors of 7274 that divides 7274 without a remainder.

1,2,3637,7274

Greatest Common Factor

We found the factors 448,7274 . The biggest common factor number is the GCF number.
So the greatest common factor 448,7274 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 42/448, 1994/7274

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 42/448, 1994/7274?

Answer: LCM of Numerators as per given numbers 42/448, 1994/7274 is

LCM of Numerators i.e. for 42,1994 is 41874

GCF of denominators i.e. for 448,7274 is 2.

Thus, LCM of Fractions is 20937.Finally, LCM of Fractions for 42/448, 1994/7274 is 20937.