Least Common Multiple of 82/367, 274/743, 952/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/367, 274/743, 952/423 quickly i.e. 5347384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/367, 274/743, 952/423 is 5347384.

LCM(82/367, 274/743, 952/423) = 5347384

LCM of 82/367, 274/743, 952/423

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 82/367,274/743,952/423

Given numbers are 82/367,274/743,952/423

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 82,274,952

Least Common Multiple of Numerators i.e. LCM of 82,274,952 is 5347384.

GCF of Denominators means GCF of 367,743,423 as per the given fractions.

GCF of 367,743,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,274,952

LCM of Fractions 82/367,274/743,952/423 is 5347384

2 82, 274, 952
41, 137, 476

∴ So the LCM of the given numbers is 2 x 41 x 137 x 476 = 5347384

Least Common Multiple of 82,274,952 with GCF Formula

Least Common Multiple of 82,274,952 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 82,274,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,274,952) = 2

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

GCF(82,274,952) x common factors =2 x 2 = 4

LCM(82,274,952) = ( 82 × 274 × 952 ) / 4

LCM(82,274,952) = 21389536 / 4

LCM(82,274,952) = 5347384


Lets's calculate GCF of 367,743,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5347384/1

Therefore the LCM of Fractions 82/367,274/743,952/423 is 5347384

Greatest Common Factor of 367,743,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,743,423 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 423

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

1,3,9,47,141,423

Greatest Common Factor

We found the factors 367,743,423 . The biggest common factor number is the GCF number.
So the greatest common factor 367,743,423 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 82/367, 274/743, 952/423

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 82/367, 274/743, 952/423?

Answer: LCM of Numerators as per given numbers 82/367, 274/743, 952/423 is

LCM of Numerators i.e. for 82,274,952 is 5347384

GCF of denominators i.e. for 367,743,423 is 1.

Thus, LCM of Fractions is 5347384.Finally, LCM of Fractions for 82/367, 274/743, 952/423 is 5347384.