Least Common Multiple of 574/80, 236/3352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/80, 236/3352 quickly i.e. 67732/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/80, 236/3352 is 67732/8.

LCM(574/80, 236/3352) = 67732/8

LCM of 574/80, 236/3352

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 574/80,236/3352

Given numbers are 574/80,236/3352

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 574,236

Least Common Multiple of Numerators i.e. LCM of 574,236 is 67732.

GCF of Denominators means GCF of 80,3352 as per the given fractions.

GCF of 80,3352 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,236

LCM of Fractions 574/80,236/3352 is 67732/8

2 574, 236
287, 118

∴ So the LCM of the given numbers is 2 x 287 x 118 = 67732

Least Common Multiple of 574,236 with GCF Formula

Least Common Multiple of 574,236 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 574,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,236) = 2

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

GCF(574,236) x common factors =2 x 1 = 2

LCM(574,236) = ( 574 × 236 ) / 2

LCM(574,236) = 135464 / 2

LCM(574,236) = 67732


Lets's calculate GCF of 80,3352

2 80, 3352
2 40, 1676
2 20, 838
10, 419

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67732/8

Therefore the LCM of Fractions 574/80,236/3352 is 67732/8

Greatest Common Factor of 80,3352 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,3352 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 3352

List of positive integer factors of 3352 that divides 3352 without a remainder.

1,2,4,8,419,838,1676,3352

Greatest Common Factor

We found the factors 80,3352 . The biggest common factor number is the GCF number.
So the greatest common factor 80,3352 is 8.


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 574/80, 236/3352

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 574/80, 236/3352?

Answer: LCM of Numerators as per given numbers 574/80, 236/3352 is

LCM of Numerators i.e. for 574,236 is 67732

GCF of denominators i.e. for 80,3352 is 8.

Thus, LCM of Fractions is 67732/8.Finally, LCM of Fractions for 574/80, 236/3352 is 67732/8.