Least Common Multiple of 4223/922, 5755/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4223/922, 5755/924 quickly i.e. 24303365/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4223/922, 5755/924 is 24303365/2.

LCM(4223/922, 5755/924) = 24303365/2

LCM of 4223/922, 5755/924

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 4223/922,5755/924

Given numbers are 4223/922,5755/924

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 4223,5755

Least Common Multiple of Numerators i.e. LCM of 4223,5755 is 24303365.

GCF of Denominators means GCF of 922,924 as per the given fractions.

GCF of 922,924 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4223,5755

LCM of Fractions 4223/922,5755/924 is 24303365/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 24303365

Least Common Multiple of 4223,5755 with GCF Formula

Least Common Multiple of 4223,5755 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 4223,5755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4223,5755) = 1

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

GCF(4223,5755) x common factors =1 x 1 = 1

LCM(4223,5755) = ( 4223 × 5755 ) / 1

LCM(4223,5755) = 24303365 / 1

LCM(4223,5755) = 24303365


Lets's calculate GCF of 922,924

2 922, 924
461, 462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24303365/2

Therefore the LCM of Fractions 4223/922,5755/924 is 24303365/2

Greatest Common Factor of 922,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,924 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 922,924 . The biggest common factor number is the GCF number.
So the greatest common factor 922,924 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4223/922, 5755/924

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 4223/922, 5755/924?

Answer: LCM of Numerators as per given numbers 4223/922, 5755/924 is

LCM of Numerators i.e. for 4223,5755 is 24303365

GCF of denominators i.e. for 922,924 is 2.

Thus, LCM of Fractions is 24303365/2.Finally, LCM of Fractions for 4223/922, 5755/924 is 24303365/2.