Least Common Multiple of 382/77, 982/55, 274/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/77, 982/55, 274/585 quickly i.e. 25695994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/77, 982/55, 274/585 is 25695994.

LCM(382/77, 982/55, 274/585) = 25695994

LCM of 382/77, 982/55, 274/585

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 382/77,982/55,274/585

Given numbers are 382/77,982/55,274/585

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 382,982,274

Least Common Multiple of Numerators i.e. LCM of 382,982,274 is 25695994.

GCF of Denominators means GCF of 77,55,585 as per the given fractions.

GCF of 77,55,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,982,274

LCM of Fractions 382/77,982/55,274/585 is 25695994

2 382, 982, 274
191, 491, 137

∴ So the LCM of the given numbers is 2 x 191 x 491 x 137 = 25695994

Least Common Multiple of 382,982,274 with GCF Formula

Least Common Multiple of 382,982,274 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 382,982,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,982,274) = 2

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

GCF(382,982,274) x common factors =2 x 2 = 4

LCM(382,982,274) = ( 382 × 982 × 274 ) / 4

LCM(382,982,274) = 102783976 / 4

LCM(382,982,274) = 25695994


Lets's calculate GCF of 77,55,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25695994/1

Therefore the LCM of Fractions 382/77,982/55,274/585 is 25695994

Greatest Common Factor of 77,55,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,55,585 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 77,55,585 . The biggest common factor number is the GCF number.
So the greatest common factor 77,55,585 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 382/77, 982/55, 274/585

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 382/77, 982/55, 274/585?

Answer: LCM of Numerators as per given numbers 382/77, 982/55, 274/585 is

LCM of Numerators i.e. for 382,982,274 is 25695994

GCF of denominators i.e. for 77,55,585 is 1.

Thus, LCM of Fractions is 25695994.Finally, LCM of Fractions for 382/77, 982/55, 274/585 is 25695994.