Least Common Multiple of 3696/248, 6342/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3696/248, 6342/926 quickly i.e. 279048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3696/248, 6342/926 is 279048.

LCM(3696/248, 6342/926) = 279048

LCM of 3696/248, 6342/926

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 3696/248,6342/926

Given numbers are 3696/248,6342/926

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 3696,6342

Least Common Multiple of Numerators i.e. LCM of 3696,6342 is 558096.

GCF of Denominators means GCF of 248,926 as per the given fractions.

GCF of 248,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3696,6342

LCM of Fractions 3696/248,6342/926 is 279048

2 3696, 6342
3 1848, 3171
7 616, 1057
88, 151

∴ So the LCM of the given numbers is 2 x 3 x 7 x 88 x 151 = 558096

Least Common Multiple of 3696,6342 with GCF Formula

Least Common Multiple of 3696,6342 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 3696,6342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3696,6342) = 42

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

GCF(3696,6342) x common factors =42 x 1 = 42

LCM(3696,6342) = ( 3696 × 6342 ) / 42

LCM(3696,6342) = 23440032 / 42

LCM(3696,6342) = 558096


Lets's calculate GCF of 248,926

2 248, 926
124, 463

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 558096/2

Therefore the LCM of Fractions 3696/248,6342/926 is 279048

Greatest Common Factor of 248,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,926 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 248,926 . The biggest common factor number is the GCF number.
So the greatest common factor 248,926 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3696/248, 6342/926

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 3696/248, 6342/926?

Answer: LCM of Numerators as per given numbers 3696/248, 6342/926 is

LCM of Numerators i.e. for 3696,6342 is 558096

GCF of denominators i.e. for 248,926 is 2.

Thus, LCM of Fractions is 279048.Finally, LCM of Fractions for 3696/248, 6342/926 is 279048.