Least Common Multiple of 586/60, 765/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 586/60, 765/274 quickly i.e. 224145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 586/60, 765/274 is 224145.

LCM(586/60, 765/274) = 224145

LCM of 586/60, 765/274

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 586/60,765/274

Given numbers are 586/60,765/274

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 586,765

Least Common Multiple of Numerators i.e. LCM of 586,765 is 448290.

GCF of Denominators means GCF of 60,274 as per the given fractions.

GCF of 60,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 586,765

LCM of Fractions 586/60,765/274 is 224145

Given numbers has no common factors except 1. So, there LCM is their product i.e 448290

Least Common Multiple of 586,765 with GCF Formula

Least Common Multiple of 586,765 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 586,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,765) = 1

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

GCF(586,765) x common factors =1 x 1 = 1

LCM(586,765) = ( 586 × 765 ) / 1

LCM(586,765) = 448290 / 1

LCM(586,765) = 448290


Lets's calculate GCF of 60,274

2 60, 274
30, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448290/2

Therefore the LCM of Fractions 586/60,765/274 is 224145

Greatest Common Factor of 60,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,274 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 274

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

1,2,137,274

Greatest Common Factor

We found the factors 60,274 . The biggest common factor number is the GCF number.
So the greatest common factor 60,274 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 586/60, 765/274

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 586/60, 765/274?

Answer: LCM of Numerators as per given numbers 586/60, 765/274 is

LCM of Numerators i.e. for 586,765 is 448290

GCF of denominators i.e. for 60,274 is 2.

Thus, LCM of Fractions is 224145.Finally, LCM of Fractions for 586/60, 765/274 is 224145.