Least Common Multiple of 534/456, 829/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 534/456, 829/336 quickly i.e. 442686/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/456, 829/336 is 442686/24.

LCM(534/456, 829/336) = 442686/24

LCM of 534/456, 829/336

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 534/456,829/336

Given numbers are 534/456,829/336

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 534,829

Least Common Multiple of Numerators i.e. LCM of 534,829 is 442686.

GCF of Denominators means GCF of 456,336 as per the given fractions.

GCF of 456,336 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,829

LCM of Fractions 534/456,829/336 is 442686/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 442686

Least Common Multiple of 534,829 with GCF Formula

Least Common Multiple of 534,829 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 534,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,829) = 1

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

GCF(534,829) x common factors =1 x 1 = 1

LCM(534,829) = ( 534 × 829 ) / 1

LCM(534,829) = 442686 / 1

LCM(534,829) = 442686


Lets's calculate GCF of 456,336

2 456, 336
2 228, 168
2 114, 84
3 57, 42
19, 14

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442686/24

Therefore the LCM of Fractions 534/456,829/336 is 442686/24

Greatest Common Factor of 456,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,336 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 456,336 . The biggest common factor number is the GCF number.
So the greatest common factor 456,336 is 24.


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 534/456, 829/336

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 534/456, 829/336?

Answer: LCM of Numerators as per given numbers 534/456, 829/336 is

LCM of Numerators i.e. for 534,829 is 442686

GCF of denominators i.e. for 456,336 is 24.

Thus, LCM of Fractions is 442686/24.Finally, LCM of Fractions for 534/456, 829/336 is 442686/24.