Least Common Multiple of 57/361, 772/44, 448/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/361, 772/44, 448/592 quickly i.e. 4928448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/361, 772/44, 448/592 is 4928448.

LCM(57/361, 772/44, 448/592) = 4928448

LCM of 57/361, 772/44, 448/592

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 57/361,772/44,448/592

Given numbers are 57/361,772/44,448/592

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 57,772,448

Least Common Multiple of Numerators i.e. LCM of 57,772,448 is 4928448.

GCF of Denominators means GCF of 361,44,592 as per the given fractions.

GCF of 361,44,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,772,448

LCM of Fractions 57/361,772/44,448/592 is 4928448

2 57, 772, 448
2 57, 386, 224
57, 193, 112

∴ So the LCM of the given numbers is 2 x 2 x 57 x 193 x 112 = 4928448

Least Common Multiple of 57,772,448 with GCF Formula

Least Common Multiple of 57,772,448 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 57,772,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,772,448) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(57,772,448) x common factors =1 x 4 = 4

LCM(57,772,448) = ( 57 × 772 × 448 ) / 4

LCM(57,772,448) = 19713792 / 4

LCM(57,772,448) = 4928448


Lets's calculate GCF of 361,44,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4928448/1

Therefore the LCM of Fractions 57/361,772/44,448/592 is 4928448

Greatest Common Factor of 361,44,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,44,592 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 361,44,592 . The biggest common factor number is the GCF number.
So the greatest common factor 361,44,592 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 57/361, 772/44, 448/592

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 57/361, 772/44, 448/592?

Answer: LCM of Numerators as per given numbers 57/361, 772/44, 448/592 is

LCM of Numerators i.e. for 57,772,448 is 4928448

GCF of denominators i.e. for 361,44,592 is 1.

Thus, LCM of Fractions is 4928448.Finally, LCM of Fractions for 57/361, 772/44, 448/592 is 4928448.