Least Common Multiple of 348/357, 992/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 348/357, 992/582 quickly i.e. 28768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/357, 992/582 is 28768.

LCM(348/357, 992/582) = 28768

LCM of 348/357, 992/582

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 348/357,992/582

Given numbers are 348/357,992/582

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 348,992

Least Common Multiple of Numerators i.e. LCM of 348,992 is 86304.

GCF of Denominators means GCF of 357,582 as per the given fractions.

GCF of 357,582 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,992

LCM of Fractions 348/357,992/582 is 28768

2 348, 992
2 174, 496
87, 248

∴ So the LCM of the given numbers is 2 x 2 x 87 x 248 = 86304

Least Common Multiple of 348,992 with GCF Formula

Least Common Multiple of 348,992 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 348,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,992) = 4

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

GCF(348,992) x common factors =4 x 1 = 4

LCM(348,992) = ( 348 × 992 ) / 4

LCM(348,992) = 345216 / 4

LCM(348,992) = 86304


Lets's calculate GCF of 357,582

3 357, 582
119, 194

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86304/3

Therefore the LCM of Fractions 348/357,992/582 is 28768

Greatest Common Factor of 357,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,582 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 357,582 . The biggest common factor number is the GCF number.
So the greatest common factor 357,582 is 3.


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 348/357, 992/582

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 348/357, 992/582?

Answer: LCM of Numerators as per given numbers 348/357, 992/582 is

LCM of Numerators i.e. for 348,992 is 86304

GCF of denominators i.e. for 357,582 is 3.

Thus, LCM of Fractions is 28768.Finally, LCM of Fractions for 348/357, 992/582 is 28768.