Least Common Multiple of 682/577, 224/590, 275/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/577, 224/590, 275/766 quickly i.e. 1909600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/577, 224/590, 275/766 is 1909600.

LCM(682/577, 224/590, 275/766) = 1909600

LCM of 682/577, 224/590, 275/766

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 682/577,224/590,275/766

Given numbers are 682/577,224/590,275/766

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 682,224,275

Least Common Multiple of Numerators i.e. LCM of 682,224,275 is 1909600.

GCF of Denominators means GCF of 577,590,766 as per the given fractions.

GCF of 577,590,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,224,275

LCM of Fractions 682/577,224/590,275/766 is 1909600

2 682, 224, 275
11 341, 112, 275
31, 112, 25

∴ So the LCM of the given numbers is 2 x 11 x 31 x 112 x 25 = 1909600

Least Common Multiple of 682,224,275 with GCF Formula

Least Common Multiple of 682,224,275 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 682,224,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,224,275) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(682,224,275) x common factors =1 x 22 = 22

LCM(682,224,275) = ( 682 × 224 × 275 ) / 22

LCM(682,224,275) = 42011200 / 22

LCM(682,224,275) = 1909600


Lets's calculate GCF of 577,590,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1909600/1

Therefore the LCM of Fractions 682/577,224/590,275/766 is 1909600

Greatest Common Factor of 577,590,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,590,766 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 577,590,766 . The biggest common factor number is the GCF number.
So the greatest common factor 577,590,766 is 1.


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 682/577, 224/590, 275/766

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 682/577, 224/590, 275/766?

Answer: LCM of Numerators as per given numbers 682/577, 224/590, 275/766 is

LCM of Numerators i.e. for 682,224,275 is 1909600

GCF of denominators i.e. for 577,590,766 is 1.

Thus, LCM of Fractions is 1909600.Finally, LCM of Fractions for 682/577, 224/590, 275/766 is 1909600.