Least Common Multiple of 284/211, 261/876, 361/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/211, 261/876, 361/271 quickly i.e. 26758764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/211, 261/876, 361/271 is 26758764.

LCM(284/211, 261/876, 361/271) = 26758764

LCM of 284/211, 261/876, 361/271

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 284/211,261/876,361/271

Given numbers are 284/211,261/876,361/271

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 284,261,361

Least Common Multiple of Numerators i.e. LCM of 284,261,361 is 26758764.

GCF of Denominators means GCF of 211,876,271 as per the given fractions.

GCF of 211,876,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,261,361

LCM of Fractions 284/211,261/876,361/271 is 26758764

Given numbers has no common factors except 1. So, there LCM is their product i.e 26758764

Least Common Multiple of 284,261,361 with GCF Formula

Least Common Multiple of 284,261,361 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 284,261,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,261,361) = 1

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

GCF(284,261,361) x common factors =1 x 1 = 1

LCM(284,261,361) = ( 284 × 261 × 361 ) / 1

LCM(284,261,361) = 26758764 / 1

LCM(284,261,361) = 26758764


Lets's calculate GCF of 211,876,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26758764/1

Therefore the LCM of Fractions 284/211,261/876,361/271 is 26758764

Greatest Common Factor of 211,876,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,876,271 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 211,876,271 . The biggest common factor number is the GCF number.
So the greatest common factor 211,876,271 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 284/211, 261/876, 361/271

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 284/211, 261/876, 361/271?

Answer: LCM of Numerators as per given numbers 284/211, 261/876, 361/271 is

LCM of Numerators i.e. for 284,261,361 is 26758764

GCF of denominators i.e. for 211,876,271 is 1.

Thus, LCM of Fractions is 26758764.Finally, LCM of Fractions for 284/211, 261/876, 361/271 is 26758764.