Least Common Multiple of 3174/211, 6002/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3174/211, 6002/604 quickly i.e. 9525174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3174/211, 6002/604 is 9525174.

LCM(3174/211, 6002/604) = 9525174

LCM of 3174/211, 6002/604

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 3174/211,6002/604

Given numbers are 3174/211,6002/604

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 3174,6002

Least Common Multiple of Numerators i.e. LCM of 3174,6002 is 9525174.

GCF of Denominators means GCF of 211,604 as per the given fractions.

GCF of 211,604 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3174,6002

LCM of Fractions 3174/211,6002/604 is 9525174

2 3174, 6002
1587, 3001

∴ So the LCM of the given numbers is 2 x 1587 x 3001 = 9525174

Least Common Multiple of 3174,6002 with GCF Formula

Least Common Multiple of 3174,6002 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 3174,6002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3174,6002) = 2

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

GCF(3174,6002) x common factors =2 x 1 = 2

LCM(3174,6002) = ( 3174 × 6002 ) / 2

LCM(3174,6002) = 19050348 / 2

LCM(3174,6002) = 9525174


Lets's calculate GCF of 211,604

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9525174/1

Therefore the LCM of Fractions 3174/211,6002/604 is 9525174

Greatest Common Factor of 211,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,604 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 211,604 . The biggest common factor number is the GCF number.
So the greatest common factor 211,604 is 1.


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 3174/211, 6002/604

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 3174/211, 6002/604?

Answer: LCM of Numerators as per given numbers 3174/211, 6002/604 is

LCM of Numerators i.e. for 3174,6002 is 9525174

GCF of denominators i.e. for 211,604 is 1.

Thus, LCM of Fractions is 9525174.Finally, LCM of Fractions for 3174/211, 6002/604 is 9525174.