Least Common Multiple of 3710/684, 6472/3071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3710/684, 6472/3071 quickly i.e. 12005560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3710/684, 6472/3071 is 12005560.

LCM(3710/684, 6472/3071) = 12005560

LCM of 3710/684, 6472/3071

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 3710/684,6472/3071

Given numbers are 3710/684,6472/3071

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 3710,6472

Least Common Multiple of Numerators i.e. LCM of 3710,6472 is 12005560.

GCF of Denominators means GCF of 684,3071 as per the given fractions.

GCF of 684,3071 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3710,6472

LCM of Fractions 3710/684,6472/3071 is 12005560

2 3710, 6472
1855, 3236

∴ So the LCM of the given numbers is 2 x 1855 x 3236 = 12005560

Least Common Multiple of 3710,6472 with GCF Formula

Least Common Multiple of 3710,6472 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 3710,6472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3710,6472) = 2

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

GCF(3710,6472) x common factors =2 x 1 = 2

LCM(3710,6472) = ( 3710 × 6472 ) / 2

LCM(3710,6472) = 24011120 / 2

LCM(3710,6472) = 12005560


Lets's calculate GCF of 684,3071

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12005560/1

Therefore the LCM of Fractions 3710/684,6472/3071 is 12005560

Greatest Common Factor of 684,3071 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,3071 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 3071

List of positive integer factors of 3071 that divides 3071 without a remainder.

1,37,83,3071

Greatest Common Factor

We found the factors 684,3071 . The biggest common factor number is the GCF number.
So the greatest common factor 684,3071 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 3710/684, 6472/3071

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 3710/684, 6472/3071?

Answer: LCM of Numerators as per given numbers 3710/684, 6472/3071 is

LCM of Numerators i.e. for 3710,6472 is 12005560

GCF of denominators i.e. for 684,3071 is 1.

Thus, LCM of Fractions is 12005560.Finally, LCM of Fractions for 3710/684, 6472/3071 is 12005560.