Least Common Multiple of 174/65, 904/4090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/65, 904/4090 quickly i.e. 78648/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/65, 904/4090 is 78648/5.

LCM(174/65, 904/4090) = 78648/5

LCM of 174/65, 904/4090

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 174/65,904/4090

Given numbers are 174/65,904/4090

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 174,904

Least Common Multiple of Numerators i.e. LCM of 174,904 is 78648.

GCF of Denominators means GCF of 65,4090 as per the given fractions.

GCF of 65,4090 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,904

LCM of Fractions 174/65,904/4090 is 78648/5

2 174, 904
87, 452

∴ So the LCM of the given numbers is 2 x 87 x 452 = 78648

Least Common Multiple of 174,904 with GCF Formula

Least Common Multiple of 174,904 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 174,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,904) = 2

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

GCF(174,904) x common factors =2 x 1 = 2

LCM(174,904) = ( 174 × 904 ) / 2

LCM(174,904) = 157296 / 2

LCM(174,904) = 78648


Lets's calculate GCF of 65,4090

5 65, 4090
13, 818

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78648/5

Therefore the LCM of Fractions 174/65,904/4090 is 78648/5

Greatest Common Factor of 65,4090 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,4090 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 4090

List of positive integer factors of 4090 that divides 4090 without a remainder.

1,2,5,10,409,818,2045,4090

Greatest Common Factor

We found the factors 65,4090 . The biggest common factor number is the GCF number.
So the greatest common factor 65,4090 is 5.


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 174/65, 904/4090

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 174/65, 904/4090?

Answer: LCM of Numerators as per given numbers 174/65, 904/4090 is

LCM of Numerators i.e. for 174,904 is 78648

GCF of denominators i.e. for 65,4090 is 5.

Thus, LCM of Fractions is 78648/5.Finally, LCM of Fractions for 174/65, 904/4090 is 78648/5.