Least Common Multiple of 74/796, 160/935, 153/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/796, 160/935, 153/243 quickly i.e. 905760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/796, 160/935, 153/243 is 905760.

LCM(74/796, 160/935, 153/243) = 905760

LCM of 74/796, 160/935, 153/243

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 74/796,160/935,153/243

Given numbers are 74/796,160/935,153/243

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 74,160,153

Least Common Multiple of Numerators i.e. LCM of 74,160,153 is 905760.

GCF of Denominators means GCF of 796,935,243 as per the given fractions.

GCF of 796,935,243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,160,153

LCM of Fractions 74/796,160/935,153/243 is 905760

2 74, 160, 153
37, 80, 153

∴ So the LCM of the given numbers is 2 x 37 x 80 x 153 = 905760

Least Common Multiple of 74,160,153 with GCF Formula

Least Common Multiple of 74,160,153 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 74,160,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,160,153) = 1

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

GCF(74,160,153) x common factors =1 x 2 = 2

LCM(74,160,153) = ( 74 × 160 × 153 ) / 2

LCM(74,160,153) = 1811520 / 2

LCM(74,160,153) = 905760


Lets's calculate GCF of 796,935,243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 905760/1

Therefore the LCM of Fractions 74/796,160/935,153/243 is 905760

Greatest Common Factor of 796,935,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,935,243 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 796,935,243 . The biggest common factor number is the GCF number.
So the greatest common factor 796,935,243 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 74/796, 160/935, 153/243

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 74/796, 160/935, 153/243?

Answer: LCM of Numerators as per given numbers 74/796, 160/935, 153/243 is

LCM of Numerators i.e. for 74,160,153 is 905760

GCF of denominators i.e. for 796,935,243 is 1.

Thus, LCM of Fractions is 905760.Finally, LCM of Fractions for 74/796, 160/935, 153/243 is 905760.