Least Common Multiple of 76/696, 273/423, 409/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/696, 273/423, 409/833 quickly i.e. 8485932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/696, 273/423, 409/833 is 8485932.

LCM(76/696, 273/423, 409/833) = 8485932

LCM of 76/696, 273/423, 409/833

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 76/696,273/423,409/833

Given numbers are 76/696,273/423,409/833

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 76,273,409

Least Common Multiple of Numerators i.e. LCM of 76,273,409 is 8485932.

GCF of Denominators means GCF of 696,423,833 as per the given fractions.

GCF of 696,423,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,273,409

LCM of Fractions 76/696,273/423,409/833 is 8485932

Given numbers has no common factors except 1. So, there LCM is their product i.e 8485932

Least Common Multiple of 76,273,409 with GCF Formula

Least Common Multiple of 76,273,409 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 76,273,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,273,409) = 1

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

GCF(76,273,409) x common factors =1 x 1 = 1

LCM(76,273,409) = ( 76 × 273 × 409 ) / 1

LCM(76,273,409) = 8485932 / 1

LCM(76,273,409) = 8485932


Lets's calculate GCF of 696,423,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8485932/1

Therefore the LCM of Fractions 76/696,273/423,409/833 is 8485932

Greatest Common Factor of 696,423,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,423,833 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 696,423,833 . The biggest common factor number is the GCF number.
So the greatest common factor 696,423,833 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 76/696, 273/423, 409/833

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 76/696, 273/423, 409/833?

Answer: LCM of Numerators as per given numbers 76/696, 273/423, 409/833 is

LCM of Numerators i.e. for 76,273,409 is 8485932

GCF of denominators i.e. for 696,423,833 is 1.

Thus, LCM of Fractions is 8485932.Finally, LCM of Fractions for 76/696, 273/423, 409/833 is 8485932.