Least Common Multiple of 76/206, 83/943, 704/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/206, 83/943, 704/933 quickly i.e. 1110208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/206, 83/943, 704/933 is 1110208.

LCM(76/206, 83/943, 704/933) = 1110208

LCM of 76/206, 83/943, 704/933

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 76/206,83/943,704/933

Given numbers are 76/206,83/943,704/933

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 76,83,704

Least Common Multiple of Numerators i.e. LCM of 76,83,704 is 1110208.

GCF of Denominators means GCF of 206,943,933 as per the given fractions.

GCF of 206,943,933 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,83,704

LCM of Fractions 76/206,83/943,704/933 is 1110208

2 76, 83, 704
2 38, 83, 352
19, 83, 176

∴ So the LCM of the given numbers is 2 x 2 x 19 x 83 x 176 = 1110208

Least Common Multiple of 76,83,704 with GCF Formula

Least Common Multiple of 76,83,704 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 76,83,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,83,704) = 1

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

GCF(76,83,704) x common factors =1 x 4 = 4

LCM(76,83,704) = ( 76 × 83 × 704 ) / 4

LCM(76,83,704) = 4440832 / 4

LCM(76,83,704) = 1110208


Lets's calculate GCF of 206,943,933

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1110208/1

Therefore the LCM of Fractions 76/206,83/943,704/933 is 1110208

Greatest Common Factor of 206,943,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,943,933 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 206,943,933 . The biggest common factor number is the GCF number.
So the greatest common factor 206,943,933 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 76/206, 83/943, 704/933

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 76/206, 83/943, 704/933?

Answer: LCM of Numerators as per given numbers 76/206, 83/943, 704/933 is

LCM of Numerators i.e. for 76,83,704 is 1110208

GCF of denominators i.e. for 206,943,933 is 1.

Thus, LCM of Fractions is 1110208.Finally, LCM of Fractions for 76/206, 83/943, 704/933 is 1110208.