Least Common Multiple of 53/228, 3319/7425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/228, 3319/7425 quickly i.e. 175907/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/228, 3319/7425 is 175907/3.

LCM(53/228, 3319/7425) = 175907/3

LCM of 53/228, 3319/7425

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 53/228,3319/7425

Given numbers are 53/228,3319/7425

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 53,3319

Least Common Multiple of Numerators i.e. LCM of 53,3319 is 175907.

GCF of Denominators means GCF of 228,7425 as per the given fractions.

GCF of 228,7425 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,3319

LCM of Fractions 53/228,3319/7425 is 175907/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 175907

Least Common Multiple of 53,3319 with GCF Formula

Least Common Multiple of 53,3319 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 53,3319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,3319) = 1

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

GCF(53,3319) x common factors =1 x 1 = 1

LCM(53,3319) = ( 53 × 3319 ) / 1

LCM(53,3319) = 175907 / 1

LCM(53,3319) = 175907


Lets's calculate GCF of 228,7425

3 228, 7425
76, 2475

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175907/3

Therefore the LCM of Fractions 53/228,3319/7425 is 175907/3

Greatest Common Factor of 228,7425 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,7425 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 7425

List of positive integer factors of 7425 that divides 7425 without a remainder.

1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425

Greatest Common Factor

We found the factors 228,7425 . The biggest common factor number is the GCF number.
So the greatest common factor 228,7425 is 3.


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 53/228, 3319/7425

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 53/228, 3319/7425?

Answer: LCM of Numerators as per given numbers 53/228, 3319/7425 is

LCM of Numerators i.e. for 53,3319 is 175907

GCF of denominators i.e. for 228,7425 is 3.

Thus, LCM of Fractions is 175907/3.Finally, LCM of Fractions for 53/228, 3319/7425 is 175907/3.