Least Common Multiple of 5555/274, 1723/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5555/274, 1723/892 quickly i.e. 9571265/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5555/274, 1723/892 is 9571265/2.

LCM(5555/274, 1723/892) = 9571265/2

LCM of 5555/274, 1723/892

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 5555/274,1723/892

Given numbers are 5555/274,1723/892

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 5555,1723

Least Common Multiple of Numerators i.e. LCM of 5555,1723 is 9571265.

GCF of Denominators means GCF of 274,892 as per the given fractions.

GCF of 274,892 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5555,1723

LCM of Fractions 5555/274,1723/892 is 9571265/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 9571265

Least Common Multiple of 5555,1723 with GCF Formula

Least Common Multiple of 5555,1723 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 5555,1723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5555,1723) = 1

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

GCF(5555,1723) x common factors =1 x 1 = 1

LCM(5555,1723) = ( 5555 × 1723 ) / 1

LCM(5555,1723) = 9571265 / 1

LCM(5555,1723) = 9571265


Lets's calculate GCF of 274,892

2 274, 892
137, 446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9571265/2

Therefore the LCM of Fractions 5555/274,1723/892 is 9571265/2

Greatest Common Factor of 274,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,892 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 274,892 . The biggest common factor number is the GCF number.
So the greatest common factor 274,892 is 2.


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Frequently Asked Questions on Fractional LCM of 5555/274, 1723/892

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 5555/274, 1723/892?

Answer: LCM of Numerators as per given numbers 5555/274, 1723/892 is

LCM of Numerators i.e. for 5555,1723 is 9571265

GCF of denominators i.e. for 274,892 is 2.

Thus, LCM of Fractions is 9571265/2.Finally, LCM of Fractions for 5555/274, 1723/892 is 9571265/2.