Least Common Multiple of 6714/283, 3428/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6714/283, 3428/532 quickly i.e. 11507796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6714/283, 3428/532 is 11507796.

LCM(6714/283, 3428/532) = 11507796

LCM of 6714/283, 3428/532

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 6714/283,3428/532

Given numbers are 6714/283,3428/532

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 6714,3428

Least Common Multiple of Numerators i.e. LCM of 6714,3428 is 11507796.

GCF of Denominators means GCF of 283,532 as per the given fractions.

GCF of 283,532 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6714,3428

LCM of Fractions 6714/283,3428/532 is 11507796

2 6714, 3428
3357, 1714

∴ So the LCM of the given numbers is 2 x 3357 x 1714 = 11507796

Least Common Multiple of 6714,3428 with GCF Formula

Least Common Multiple of 6714,3428 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 6714,3428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6714,3428) = 2

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

GCF(6714,3428) x common factors =2 x 1 = 2

LCM(6714,3428) = ( 6714 × 3428 ) / 2

LCM(6714,3428) = 23015592 / 2

LCM(6714,3428) = 11507796


Lets's calculate GCF of 283,532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11507796/1

Therefore the LCM of Fractions 6714/283,3428/532 is 11507796

Greatest Common Factor of 283,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,532 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 283,532 . The biggest common factor number is the GCF number.
So the greatest common factor 283,532 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 6714/283, 3428/532

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 6714/283, 3428/532?

Answer: LCM of Numerators as per given numbers 6714/283, 3428/532 is

LCM of Numerators i.e. for 6714,3428 is 11507796

GCF of denominators i.e. for 283,532 is 1.

Thus, LCM of Fractions is 11507796.Finally, LCM of Fractions for 6714/283, 3428/532 is 11507796.