Least Common Multiple of 6604/474, 5174/6687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6604/474, 5174/6687 quickly i.e. 1314196/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6604/474, 5174/6687 is 1314196/3.

LCM(6604/474, 5174/6687) = 1314196/3

LCM of 6604/474, 5174/6687

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 6604/474,5174/6687

Given numbers are 6604/474,5174/6687

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 6604,5174

Least Common Multiple of Numerators i.e. LCM of 6604,5174 is 1314196.

GCF of Denominators means GCF of 474,6687 as per the given fractions.

GCF of 474,6687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6604,5174

LCM of Fractions 6604/474,5174/6687 is 1314196/3

2 6604, 5174
13 3302, 2587
254, 199

∴ So the LCM of the given numbers is 2 x 13 x 254 x 199 = 1314196

Least Common Multiple of 6604,5174 with GCF Formula

Least Common Multiple of 6604,5174 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 6604,5174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6604,5174) = 26

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

GCF(6604,5174) x common factors =26 x 1 = 26

LCM(6604,5174) = ( 6604 × 5174 ) / 26

LCM(6604,5174) = 34169096 / 26

LCM(6604,5174) = 1314196


Lets's calculate GCF of 474,6687

3 474, 6687
158, 2229

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1314196/3

Therefore the LCM of Fractions 6604/474,5174/6687 is 1314196/3

Greatest Common Factor of 474,6687 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,6687 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 6687

List of positive integer factors of 6687 that divides 6687 without a remainder.

1,3,9,743,2229,6687

Greatest Common Factor

We found the factors 474,6687 . The biggest common factor number is the GCF number.
So the greatest common factor 474,6687 is 3.


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 6604/474, 5174/6687

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 6604/474, 5174/6687?

Answer: LCM of Numerators as per given numbers 6604/474, 5174/6687 is

LCM of Numerators i.e. for 6604,5174 is 1314196

GCF of denominators i.e. for 474,6687 is 3.

Thus, LCM of Fractions is 1314196/3.Finally, LCM of Fractions for 6604/474, 5174/6687 is 1314196/3.