Least Common Multiple of 3973/824, 7029/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3973/824, 7029/318 quickly i.e. 27926217/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3973/824, 7029/318 is 27926217/2.

LCM(3973/824, 7029/318) = 27926217/2

LCM of 3973/824, 7029/318

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 3973/824,7029/318

Given numbers are 3973/824,7029/318

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 3973,7029

Least Common Multiple of Numerators i.e. LCM of 3973,7029 is 27926217.

GCF of Denominators means GCF of 824,318 as per the given fractions.

GCF of 824,318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3973,7029

LCM of Fractions 3973/824,7029/318 is 27926217/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 27926217

Least Common Multiple of 3973,7029 with GCF Formula

Least Common Multiple of 3973,7029 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 3973,7029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3973,7029) = 1

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

GCF(3973,7029) x common factors =1 x 1 = 1

LCM(3973,7029) = ( 3973 × 7029 ) / 1

LCM(3973,7029) = 27926217 / 1

LCM(3973,7029) = 27926217


Lets's calculate GCF of 824,318

2 824, 318
412, 159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27926217/2

Therefore the LCM of Fractions 3973/824,7029/318 is 27926217/2

Greatest Common Factor of 824,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,318 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 824,318 . The biggest common factor number is the GCF number.
So the greatest common factor 824,318 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 3973/824, 7029/318

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 3973/824, 7029/318?

Answer: LCM of Numerators as per given numbers 3973/824, 7029/318 is

LCM of Numerators i.e. for 3973,7029 is 27926217

GCF of denominators i.e. for 824,318 is 2.

Thus, LCM of Fractions is 27926217/2.Finally, LCM of Fractions for 3973/824, 7029/318 is 27926217/2.