Least Common Multiple of 239/174, 367/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 239/174, 367/661 quickly i.e. 87713 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/174, 367/661 is 87713.

LCM(239/174, 367/661) = 87713

LCM of 239/174, 367/661

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 239/174,367/661

Given numbers are 239/174,367/661

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 239,367

Least Common Multiple of Numerators i.e. LCM of 239,367 is 87713.

GCF of Denominators means GCF of 174,661 as per the given fractions.

GCF of 174,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,367

LCM of Fractions 239/174,367/661 is 87713

Given numbers has no common factors except 1. So, there LCM is their product i.e 87713

Least Common Multiple of 239,367 with GCF Formula

Least Common Multiple of 239,367 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 239,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,367) = 1

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

GCF(239,367) x common factors =1 x 1 = 1

LCM(239,367) = ( 239 × 367 ) / 1

LCM(239,367) = 87713 / 1

LCM(239,367) = 87713


Lets's calculate GCF of 174,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87713/1

Therefore the LCM of Fractions 239/174,367/661 is 87713

Greatest Common Factor of 174,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,661 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 174,661 . The biggest common factor number is the GCF number.
So the greatest common factor 174,661 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 239/174, 367/661

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 239/174, 367/661?

Answer: LCM of Numerators as per given numbers 239/174, 367/661 is

LCM of Numerators i.e. for 239,367 is 87713

GCF of denominators i.e. for 174,661 is 1.

Thus, LCM of Fractions is 87713.Finally, LCM of Fractions for 239/174, 367/661 is 87713.