Least Common Multiple of 18/274, 125/48, 659/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/274, 125/48, 659/820 quickly i.e. 741375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/274, 125/48, 659/820 is 741375.

LCM(18/274, 125/48, 659/820) = 741375

LCM of 18/274, 125/48, 659/820

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 18/274,125/48,659/820

Given numbers are 18/274,125/48,659/820

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 18,125,659

Least Common Multiple of Numerators i.e. LCM of 18,125,659 is 1482750.

GCF of Denominators means GCF of 274,48,820 as per the given fractions.

GCF of 274,48,820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,125,659

LCM of Fractions 18/274,125/48,659/820 is 741375

Given numbers has no common factors except 1. So, there LCM is their product i.e 1482750

Least Common Multiple of 18,125,659 with GCF Formula

Least Common Multiple of 18,125,659 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 18,125,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,125,659) = 1

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

GCF(18,125,659) x common factors =1 x 1 = 1

LCM(18,125,659) = ( 18 × 125 × 659 ) / 1

LCM(18,125,659) = 1482750 / 1

LCM(18,125,659) = 1482750


Lets's calculate GCF of 274,48,820

2 274, 48, 820
137, 24, 410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1482750/2

Therefore the LCM of Fractions 18/274,125/48,659/820 is 741375

Greatest Common Factor of 274,48,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,48,820 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 274,48,820 . The biggest common factor number is the GCF number.
So the greatest common factor 274,48,820 is 2.


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 18/274, 125/48, 659/820

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 18/274, 125/48, 659/820?

Answer: LCM of Numerators as per given numbers 18/274, 125/48, 659/820 is

LCM of Numerators i.e. for 18,125,659 is 1482750

GCF of denominators i.e. for 274,48,820 is 2.

Thus, LCM of Fractions is 741375.Finally, LCM of Fractions for 18/274, 125/48, 659/820 is 741375.