Least Common Multiple of 348/996, 3644/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 348/996, 3644/595 quickly i.e. 317028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/996, 3644/595 is 317028.

LCM(348/996, 3644/595) = 317028

LCM of 348/996, 3644/595

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 348/996,3644/595

Given numbers are 348/996,3644/595

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 348,3644

Least Common Multiple of Numerators i.e. LCM of 348,3644 is 317028.

GCF of Denominators means GCF of 996,595 as per the given fractions.

GCF of 996,595 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,3644

LCM of Fractions 348/996,3644/595 is 317028

2 348, 3644
2 174, 1822
87, 911

∴ So the LCM of the given numbers is 2 x 2 x 87 x 911 = 317028

Least Common Multiple of 348,3644 with GCF Formula

Least Common Multiple of 348,3644 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 348,3644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,3644) = 4

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

GCF(348,3644) x common factors =4 x 1 = 4

LCM(348,3644) = ( 348 × 3644 ) / 4

LCM(348,3644) = 1268112 / 4

LCM(348,3644) = 317028


Lets's calculate GCF of 996,595

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317028/1

Therefore the LCM of Fractions 348/996,3644/595 is 317028

Greatest Common Factor of 996,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,595 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 996,595 . The biggest common factor number is the GCF number.
So the greatest common factor 996,595 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 348/996, 3644/595

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 348/996, 3644/595?

Answer: LCM of Numerators as per given numbers 348/996, 3644/595 is

LCM of Numerators i.e. for 348,3644 is 317028

GCF of denominators i.e. for 996,595 is 1.

Thus, LCM of Fractions is 317028.Finally, LCM of Fractions for 348/996, 3644/595 is 317028.