Least Common Multiple of 33/364, 8677/3440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/364, 8677/3440 quickly i.e. 286341/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/364, 8677/3440 is 286341/4.

LCM(33/364, 8677/3440) = 286341/4

LCM of 33/364, 8677/3440

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 33/364,8677/3440

Given numbers are 33/364,8677/3440

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 33,8677

Least Common Multiple of Numerators i.e. LCM of 33,8677 is 286341.

GCF of Denominators means GCF of 364,3440 as per the given fractions.

GCF of 364,3440 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,8677

LCM of Fractions 33/364,8677/3440 is 286341/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 286341

Least Common Multiple of 33,8677 with GCF Formula

Least Common Multiple of 33,8677 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 33,8677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,8677) = 1

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

GCF(33,8677) x common factors =1 x 1 = 1

LCM(33,8677) = ( 33 × 8677 ) / 1

LCM(33,8677) = 286341 / 1

LCM(33,8677) = 286341


Lets's calculate GCF of 364,3440

2 364, 3440
2 182, 1720
91, 860

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286341/4

Therefore the LCM of Fractions 33/364,8677/3440 is 286341/4

Greatest Common Factor of 364,3440 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,3440 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440

Greatest Common Factor

We found the factors 364,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 364,3440 is 4.


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 33/364, 8677/3440

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 33/364, 8677/3440?

Answer: LCM of Numerators as per given numbers 33/364, 8677/3440 is

LCM of Numerators i.e. for 33,8677 is 286341

GCF of denominators i.e. for 364,3440 is 4.

Thus, LCM of Fractions is 286341/4.Finally, LCM of Fractions for 33/364, 8677/3440 is 286341/4.