Least Common Multiple of 429/32, 527/31, 224/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/32, 527/31, 224/308 quickly i.e. 50642592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/32, 527/31, 224/308 is 50642592.

LCM(429/32, 527/31, 224/308) = 50642592

LCM of 429/32, 527/31, 224/308

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 429/32,527/31,224/308

Given numbers are 429/32,527/31,224/308

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 429,527,224

Least Common Multiple of Numerators i.e. LCM of 429,527,224 is 50642592.

GCF of Denominators means GCF of 32,31,308 as per the given fractions.

GCF of 32,31,308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,527,224

LCM of Fractions 429/32,527/31,224/308 is 50642592

Given numbers has no common factors except 1. So, there LCM is their product i.e 50642592

Least Common Multiple of 429,527,224 with GCF Formula

Least Common Multiple of 429,527,224 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 429,527,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,527,224) = 1

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

GCF(429,527,224) x common factors =1 x 1 = 1

LCM(429,527,224) = ( 429 × 527 × 224 ) / 1

LCM(429,527,224) = 50642592 / 1

LCM(429,527,224) = 50642592


Lets's calculate GCF of 32,31,308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50642592/1

Therefore the LCM of Fractions 429/32,527/31,224/308 is 50642592

Greatest Common Factor of 32,31,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,31,308 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 32,31,308 . The biggest common factor number is the GCF number.
So the greatest common factor 32,31,308 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 429/32, 527/31, 224/308

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 429/32, 527/31, 224/308?

Answer: LCM of Numerators as per given numbers 429/32, 527/31, 224/308 is

LCM of Numerators i.e. for 429,527,224 is 50642592

GCF of denominators i.e. for 32,31,308 is 1.

Thus, LCM of Fractions is 50642592.Finally, LCM of Fractions for 429/32, 527/31, 224/308 is 50642592.