Least Common Multiple of 6634/494, 7874/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6634/494, 7874/574 quickly i.e. 421259 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6634/494, 7874/574 is 421259.

LCM(6634/494, 7874/574) = 421259

LCM of 6634/494, 7874/574

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 6634/494,7874/574

Given numbers are 6634/494,7874/574

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 6634,7874

Least Common Multiple of Numerators i.e. LCM of 6634,7874 is 842518.

GCF of Denominators means GCF of 494,574 as per the given fractions.

GCF of 494,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6634,7874

LCM of Fractions 6634/494,7874/574 is 421259

2 6634, 7874
31 3317, 3937
107, 127

∴ So the LCM of the given numbers is 2 x 31 x 107 x 127 = 842518

Least Common Multiple of 6634,7874 with GCF Formula

Least Common Multiple of 6634,7874 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 6634,7874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6634,7874) = 62

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

GCF(6634,7874) x common factors =62 x 1 = 62

LCM(6634,7874) = ( 6634 × 7874 ) / 62

LCM(6634,7874) = 52236116 / 62

LCM(6634,7874) = 842518


Lets's calculate GCF of 494,574

2 494, 574
247, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 842518/2

Therefore the LCM of Fractions 6634/494,7874/574 is 421259

Greatest Common Factor of 494,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,574 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 494,574 . The biggest common factor number is the GCF number.
So the greatest common factor 494,574 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 6634/494, 7874/574

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 6634/494, 7874/574?

Answer: LCM of Numerators as per given numbers 6634/494, 7874/574 is

LCM of Numerators i.e. for 6634,7874 is 842518

GCF of denominators i.e. for 494,574 is 2.

Thus, LCM of Fractions is 421259.Finally, LCM of Fractions for 6634/494, 7874/574 is 421259.