Least Common Multiple of 87/923, 399/886, 133/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/923, 399/886, 133/185 quickly i.e. 11571 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/923, 399/886, 133/185 is 11571.

LCM(87/923, 399/886, 133/185) = 11571

LCM of 87/923, 399/886, 133/185

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 87/923,399/886,133/185

Given numbers are 87/923,399/886,133/185

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 87,399,133

Least Common Multiple of Numerators i.e. LCM of 87,399,133 is 11571.

GCF of Denominators means GCF of 923,886,185 as per the given fractions.

GCF of 923,886,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,399,133

LCM of Fractions 87/923,399/886,133/185 is 11571

3 87, 399, 133
7 29, 133, 133
19 29, 19, 19
29, 1, 1

∴ So the LCM of the given numbers is 3 x 7 x 19 x 29 x 1 x 1 = 11571

Least Common Multiple of 87,399,133 with GCF Formula

Least Common Multiple of 87,399,133 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 87,399,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,399,133) = 1

common factors(in case of two or more numbers have common factors) = 399

GCF(87,399,133) x common factors =1 x 399 = 399

LCM(87,399,133) = ( 87 × 399 × 133 ) / 399

LCM(87,399,133) = 4616829 / 399

LCM(87,399,133) = 11571


Lets's calculate GCF of 923,886,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11571/1

Therefore the LCM of Fractions 87/923,399/886,133/185 is 11571

Greatest Common Factor of 923,886,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,886,185 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 923,886,185 . The biggest common factor number is the GCF number.
So the greatest common factor 923,886,185 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 87/923, 399/886, 133/185

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 87/923, 399/886, 133/185?

Answer: LCM of Numerators as per given numbers 87/923, 399/886, 133/185 is

LCM of Numerators i.e. for 87,399,133 is 11571

GCF of denominators i.e. for 923,886,185 is 1.

Thus, LCM of Fractions is 11571.Finally, LCM of Fractions for 87/923, 399/886, 133/185 is 11571.