Least Common Multiple of 738/361, 3325/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/361, 3325/829 quickly i.e. 2453850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/361, 3325/829 is 2453850.

LCM(738/361, 3325/829) = 2453850

LCM of 738/361, 3325/829

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 738/361,3325/829

Given numbers are 738/361,3325/829

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 738,3325

Least Common Multiple of Numerators i.e. LCM of 738,3325 is 2453850.

GCF of Denominators means GCF of 361,829 as per the given fractions.

GCF of 361,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,3325

LCM of Fractions 738/361,3325/829 is 2453850

Given numbers has no common factors except 1. So, there LCM is their product i.e 2453850

Least Common Multiple of 738,3325 with GCF Formula

Least Common Multiple of 738,3325 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 738,3325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,3325) = 1

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

GCF(738,3325) x common factors =1 x 1 = 1

LCM(738,3325) = ( 738 × 3325 ) / 1

LCM(738,3325) = 2453850 / 1

LCM(738,3325) = 2453850


Lets's calculate GCF of 361,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2453850/1

Therefore the LCM of Fractions 738/361,3325/829 is 2453850

Greatest Common Factor of 361,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,829 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 361,829 . The biggest common factor number is the GCF number.
So the greatest common factor 361,829 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 738/361, 3325/829

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 738/361, 3325/829?

Answer: LCM of Numerators as per given numbers 738/361, 3325/829 is

LCM of Numerators i.e. for 738,3325 is 2453850

GCF of denominators i.e. for 361,829 is 1.

Thus, LCM of Fractions is 2453850.Finally, LCM of Fractions for 738/361, 3325/829 is 2453850.