Least Common Multiple of 6546/682, 1144/8532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6546/682, 1144/8532 quickly i.e. 1872156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6546/682, 1144/8532 is 1872156.

LCM(6546/682, 1144/8532) = 1872156

LCM of 6546/682, 1144/8532

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 6546/682,1144/8532

Given numbers are 6546/682,1144/8532

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 6546,1144

Least Common Multiple of Numerators i.e. LCM of 6546,1144 is 3744312.

GCF of Denominators means GCF of 682,8532 as per the given fractions.

GCF of 682,8532 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6546,1144

LCM of Fractions 6546/682,1144/8532 is 1872156

2 6546, 1144
3273, 572

∴ So the LCM of the given numbers is 2 x 3273 x 572 = 3744312

Least Common Multiple of 6546,1144 with GCF Formula

Least Common Multiple of 6546,1144 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 6546,1144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6546,1144) = 2

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

GCF(6546,1144) x common factors =2 x 1 = 2

LCM(6546,1144) = ( 6546 × 1144 ) / 2

LCM(6546,1144) = 7488624 / 2

LCM(6546,1144) = 3744312


Lets's calculate GCF of 682,8532

2 682, 8532
341, 4266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3744312/2

Therefore the LCM of Fractions 6546/682,1144/8532 is 1872156

Greatest Common Factor of 682,8532 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,8532 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 8532

List of positive integer factors of 8532 that divides 8532 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532

Greatest Common Factor

We found the factors 682,8532 . The biggest common factor number is the GCF number.
So the greatest common factor 682,8532 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 6546/682, 1144/8532

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 6546/682, 1144/8532?

Answer: LCM of Numerators as per given numbers 6546/682, 1144/8532 is

LCM of Numerators i.e. for 6546,1144 is 3744312

GCF of denominators i.e. for 682,8532 is 2.

Thus, LCM of Fractions is 1872156.Finally, LCM of Fractions for 6546/682, 1144/8532 is 1872156.