Least Common Multiple of 366/77, 576/4269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 366/77, 576/4269 quickly i.e. 35136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 366/77, 576/4269 is 35136.

LCM(366/77, 576/4269) = 35136

LCM of 366/77, 576/4269

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 366/77,576/4269

Given numbers are 366/77,576/4269

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 366,576

Least Common Multiple of Numerators i.e. LCM of 366,576 is 35136.

GCF of Denominators means GCF of 77,4269 as per the given fractions.

GCF of 77,4269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 366,576

LCM of Fractions 366/77,576/4269 is 35136

2 366, 576
3 183, 288
61, 96

∴ So the LCM of the given numbers is 2 x 3 x 61 x 96 = 35136

Least Common Multiple of 366,576 with GCF Formula

Least Common Multiple of 366,576 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 366,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,576) = 6

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

GCF(366,576) x common factors =6 x 1 = 6

LCM(366,576) = ( 366 × 576 ) / 6

LCM(366,576) = 210816 / 6

LCM(366,576) = 35136


Lets's calculate GCF of 77,4269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35136/1

Therefore the LCM of Fractions 366/77,576/4269 is 35136

Greatest Common Factor of 77,4269 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,4269 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 4269

List of positive integer factors of 4269 that divides 4269 without a remainder.

1,3,1423,4269

Greatest Common Factor

We found the factors 77,4269 . The biggest common factor number is the GCF number.
So the greatest common factor 77,4269 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 366/77, 576/4269

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 366/77, 576/4269?

Answer: LCM of Numerators as per given numbers 366/77, 576/4269 is

LCM of Numerators i.e. for 366,576 is 35136

GCF of denominators i.e. for 77,4269 is 1.

Thus, LCM of Fractions is 35136.Finally, LCM of Fractions for 366/77, 576/4269 is 35136.