Least Common Multiple of 46/718, 6426/6548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/718, 6426/6548 quickly i.e. 73899 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/718, 6426/6548 is 73899.

LCM(46/718, 6426/6548) = 73899

LCM of 46/718, 6426/6548

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 46/718,6426/6548

Given numbers are 46/718,6426/6548

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 46,6426

Least Common Multiple of Numerators i.e. LCM of 46,6426 is 147798.

GCF of Denominators means GCF of 718,6548 as per the given fractions.

GCF of 718,6548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,6426

LCM of Fractions 46/718,6426/6548 is 73899

2 46, 6426
23, 3213

∴ So the LCM of the given numbers is 2 x 23 x 3213 = 147798

Least Common Multiple of 46,6426 with GCF Formula

Least Common Multiple of 46,6426 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 46,6426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,6426) = 2

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

GCF(46,6426) x common factors =2 x 1 = 2

LCM(46,6426) = ( 46 × 6426 ) / 2

LCM(46,6426) = 295596 / 2

LCM(46,6426) = 147798


Lets's calculate GCF of 718,6548

2 718, 6548
359, 3274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147798/2

Therefore the LCM of Fractions 46/718,6426/6548 is 73899

Greatest Common Factor of 718,6548 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,6548 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 6548

List of positive integer factors of 6548 that divides 6548 without a remainder.

1,2,4,1637,3274,6548

Greatest Common Factor

We found the factors 718,6548 . The biggest common factor number is the GCF number.
So the greatest common factor 718,6548 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/718, 6426/6548

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 46/718, 6426/6548?

Answer: LCM of Numerators as per given numbers 46/718, 6426/6548 is

LCM of Numerators i.e. for 46,6426 is 147798

GCF of denominators i.e. for 718,6548 is 2.

Thus, LCM of Fractions is 73899.Finally, LCM of Fractions for 46/718, 6426/6548 is 73899.