Least Common Multiple of 5740/668, 1863/6523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5740/668, 1863/6523 quickly i.e. 10693620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5740/668, 1863/6523 is 10693620.

LCM(5740/668, 1863/6523) = 10693620

LCM of 5740/668, 1863/6523

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 5740/668,1863/6523

Given numbers are 5740/668,1863/6523

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 5740,1863

Least Common Multiple of Numerators i.e. LCM of 5740,1863 is 10693620.

GCF of Denominators means GCF of 668,6523 as per the given fractions.

GCF of 668,6523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5740,1863

LCM of Fractions 5740/668,1863/6523 is 10693620

Given numbers has no common factors except 1. So, there LCM is their product i.e 10693620

Least Common Multiple of 5740,1863 with GCF Formula

Least Common Multiple of 5740,1863 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 5740,1863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5740,1863) = 1

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

GCF(5740,1863) x common factors =1 x 1 = 1

LCM(5740,1863) = ( 5740 × 1863 ) / 1

LCM(5740,1863) = 10693620 / 1

LCM(5740,1863) = 10693620


Lets's calculate GCF of 668,6523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10693620/1

Therefore the LCM of Fractions 5740/668,1863/6523 is 10693620

Greatest Common Factor of 668,6523 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,6523 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1,11,593,6523

Greatest Common Factor

We found the factors 668,6523 . The biggest common factor number is the GCF number.
So the greatest common factor 668,6523 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5740/668, 1863/6523

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 5740/668, 1863/6523?

Answer: LCM of Numerators as per given numbers 5740/668, 1863/6523 is

LCM of Numerators i.e. for 5740,1863 is 10693620

GCF of denominators i.e. for 668,6523 is 1.

Thus, LCM of Fractions is 10693620.Finally, LCM of Fractions for 5740/668, 1863/6523 is 10693620.