Least Common Multiple of 14/888, 872/840, 932/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/888, 872/840, 932/200 quickly i.e. 177779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/888, 872/840, 932/200 is 177779.

LCM(14/888, 872/840, 932/200) = 177779

LCM of 14/888, 872/840, 932/200

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 14/888,872/840,932/200

Given numbers are 14/888,872/840,932/200

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 14,872,932

Least Common Multiple of Numerators i.e. LCM of 14,872,932 is 1422232.

GCF of Denominators means GCF of 888,840,200 as per the given fractions.

GCF of 888,840,200 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,872,932

LCM of Fractions 14/888,872/840,932/200 is 177779

2 14, 872, 932
2 7, 436, 466
7, 218, 233

∴ So the LCM of the given numbers is 2 x 2 x 7 x 218 x 233 = 1422232

Least Common Multiple of 14,872,932 with GCF Formula

Least Common Multiple of 14,872,932 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 14,872,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,872,932) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(14,872,932) x common factors =2 x 4 = 8

LCM(14,872,932) = ( 14 × 872 × 932 ) / 8

LCM(14,872,932) = 11377856 / 8

LCM(14,872,932) = 1422232


Lets's calculate GCF of 888,840,200

2 888, 840, 200
2 444, 420, 100
2 222, 210, 50
111, 105, 25

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1422232/8

Therefore the LCM of Fractions 14/888,872/840,932/200 is 177779

Greatest Common Factor of 888,840,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,840,200 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 888,840,200 . The biggest common factor number is the GCF number.
So the greatest common factor 888,840,200 is 8.


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 14/888, 872/840, 932/200

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 14/888, 872/840, 932/200?

Answer: LCM of Numerators as per given numbers 14/888, 872/840, 932/200 is

LCM of Numerators i.e. for 14,872,932 is 1422232

GCF of denominators i.e. for 888,840,200 is 8.

Thus, LCM of Fractions is 177779.Finally, LCM of Fractions for 14/888, 872/840, 932/200 is 177779.