Least Common Multiple of 167/64, 104/53, 429/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 167/64, 104/53, 429/484 quickly i.e. 573144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 167/64, 104/53, 429/484 is 573144.

LCM(167/64, 104/53, 429/484) = 573144

LCM of 167/64, 104/53, 429/484

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 167/64,104/53,429/484

Given numbers are 167/64,104/53,429/484

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 167,104,429

Least Common Multiple of Numerators i.e. LCM of 167,104,429 is 573144.

GCF of Denominators means GCF of 64,53,484 as per the given fractions.

GCF of 64,53,484 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 167,104,429

LCM of Fractions 167/64,104/53,429/484 is 573144

13 167, 104, 429
167, 8, 33

∴ So the LCM of the given numbers is 13 x 167 x 8 x 33 = 573144

Least Common Multiple of 167,104,429 with GCF Formula

Least Common Multiple of 167,104,429 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 167,104,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,104,429) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(167,104,429) x common factors =1 x 13 = 13

LCM(167,104,429) = ( 167 × 104 × 429 ) / 13

LCM(167,104,429) = 7450872 / 13

LCM(167,104,429) = 573144


Lets's calculate GCF of 64,53,484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 573144/1

Therefore the LCM of Fractions 167/64,104/53,429/484 is 573144

Greatest Common Factor of 64,53,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,53,484 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 64,53,484 . The biggest common factor number is the GCF number.
So the greatest common factor 64,53,484 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 167/64, 104/53, 429/484

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 167/64, 104/53, 429/484?

Answer: LCM of Numerators as per given numbers 167/64, 104/53, 429/484 is

LCM of Numerators i.e. for 167,104,429 is 573144

GCF of denominators i.e. for 64,53,484 is 1.

Thus, LCM of Fractions is 573144.Finally, LCM of Fractions for 167/64, 104/53, 429/484 is 573144.