Least Common Multiple of 4208/68, 5975/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4208/68, 5975/329 quickly i.e. 25142800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4208/68, 5975/329 is 25142800.

LCM(4208/68, 5975/329) = 25142800

LCM of 4208/68, 5975/329

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 4208/68,5975/329

Given numbers are 4208/68,5975/329

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 4208,5975

Least Common Multiple of Numerators i.e. LCM of 4208,5975 is 25142800.

GCF of Denominators means GCF of 68,329 as per the given fractions.

GCF of 68,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4208,5975

LCM of Fractions 4208/68,5975/329 is 25142800

Given numbers has no common factors except 1. So, there LCM is their product i.e 25142800

Least Common Multiple of 4208,5975 with GCF Formula

Least Common Multiple of 4208,5975 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 4208,5975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4208,5975) = 1

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

GCF(4208,5975) x common factors =1 x 1 = 1

LCM(4208,5975) = ( 4208 × 5975 ) / 1

LCM(4208,5975) = 25142800 / 1

LCM(4208,5975) = 25142800


Lets's calculate GCF of 68,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25142800/1

Therefore the LCM of Fractions 4208/68,5975/329 is 25142800

Greatest Common Factor of 68,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,329 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 68,329 . The biggest common factor number is the GCF number.
So the greatest common factor 68,329 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 4208/68, 5975/329

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 4208/68, 5975/329?

Answer: LCM of Numerators as per given numbers 4208/68, 5975/329 is

LCM of Numerators i.e. for 4208,5975 is 25142800

GCF of denominators i.e. for 68,329 is 1.

Thus, LCM of Fractions is 25142800.Finally, LCM of Fractions for 4208/68, 5975/329 is 25142800.