Least Common Multiple of 881/509, 538/321, 100/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 881/509, 538/321, 100/665 quickly i.e. 23698900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 881/509, 538/321, 100/665 is 23698900.

LCM(881/509, 538/321, 100/665) = 23698900

LCM of 881/509, 538/321, 100/665

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 881/509,538/321,100/665

Given numbers are 881/509,538/321,100/665

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 881,538,100

Least Common Multiple of Numerators i.e. LCM of 881,538,100 is 23698900.

GCF of Denominators means GCF of 509,321,665 as per the given fractions.

GCF of 509,321,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 881,538,100

LCM of Fractions 881/509,538/321,100/665 is 23698900

2 881, 538, 100
881, 269, 50

∴ So the LCM of the given numbers is 2 x 881 x 269 x 50 = 23698900

Least Common Multiple of 881,538,100 with GCF Formula

Least Common Multiple of 881,538,100 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 881,538,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(881,538,100) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(881,538,100) x common factors =1 x 2 = 2

LCM(881,538,100) = ( 881 × 538 × 100 ) / 2

LCM(881,538,100) = 47397800 / 2

LCM(881,538,100) = 23698900


Lets's calculate GCF of 509,321,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23698900/1

Therefore the LCM of Fractions 881/509,538/321,100/665 is 23698900

Greatest Common Factor of 509,321,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,321,665 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 509,321,665 . The biggest common factor number is the GCF number.
So the greatest common factor 509,321,665 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 881/509, 538/321, 100/665

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 881/509, 538/321, 100/665?

Answer: LCM of Numerators as per given numbers 881/509, 538/321, 100/665 is

LCM of Numerators i.e. for 881,538,100 is 23698900

GCF of denominators i.e. for 509,321,665 is 1.

Thus, LCM of Fractions is 23698900.Finally, LCM of Fractions for 881/509, 538/321, 100/665 is 23698900.