Least Common Multiple of 4318/226, 5092/1936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4318/226, 5092/1936 quickly i.e. 5496814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4318/226, 5092/1936 is 5496814.

LCM(4318/226, 5092/1936) = 5496814

LCM of 4318/226, 5092/1936

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 4318/226,5092/1936

Given numbers are 4318/226,5092/1936

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 4318,5092

Least Common Multiple of Numerators i.e. LCM of 4318,5092 is 10993628.

GCF of Denominators means GCF of 226,1936 as per the given fractions.

GCF of 226,1936 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4318,5092

LCM of Fractions 4318/226,5092/1936 is 5496814

2 4318, 5092
2159, 2546

∴ So the LCM of the given numbers is 2 x 2159 x 2546 = 10993628

Least Common Multiple of 4318,5092 with GCF Formula

Least Common Multiple of 4318,5092 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 4318,5092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4318,5092) = 2

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

GCF(4318,5092) x common factors =2 x 1 = 2

LCM(4318,5092) = ( 4318 × 5092 ) / 2

LCM(4318,5092) = 21987256 / 2

LCM(4318,5092) = 10993628


Lets's calculate GCF of 226,1936

2 226, 1936
113, 968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10993628/2

Therefore the LCM of Fractions 4318/226,5092/1936 is 5496814

Greatest Common Factor of 226,1936 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,1936 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936

Greatest Common Factor

We found the factors 226,1936 . The biggest common factor number is the GCF number.
So the greatest common factor 226,1936 is 2.


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Frequently Asked Questions on Fractional LCM of 4318/226, 5092/1936

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 4318/226, 5092/1936?

Answer: LCM of Numerators as per given numbers 4318/226, 5092/1936 is

LCM of Numerators i.e. for 4318,5092 is 10993628

GCF of denominators i.e. for 226,1936 is 2.

Thus, LCM of Fractions is 5496814.Finally, LCM of Fractions for 4318/226, 5092/1936 is 5496814.