Least Common Multiple of 5712/72, 4121/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5712/72, 4121/833 quickly i.e. 23539152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5712/72, 4121/833 is 23539152.

LCM(5712/72, 4121/833) = 23539152

LCM of 5712/72, 4121/833

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 5712/72,4121/833

Given numbers are 5712/72,4121/833

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 5712,4121

Least Common Multiple of Numerators i.e. LCM of 5712,4121 is 23539152.

GCF of Denominators means GCF of 72,833 as per the given fractions.

GCF of 72,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5712,4121

LCM of Fractions 5712/72,4121/833 is 23539152

Given numbers has no common factors except 1. So, there LCM is their product i.e 23539152

Least Common Multiple of 5712,4121 with GCF Formula

Least Common Multiple of 5712,4121 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 5712,4121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5712,4121) = 1

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

GCF(5712,4121) x common factors =1 x 1 = 1

LCM(5712,4121) = ( 5712 × 4121 ) / 1

LCM(5712,4121) = 23539152 / 1

LCM(5712,4121) = 23539152


Lets's calculate GCF of 72,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23539152/1

Therefore the LCM of Fractions 5712/72,4121/833 is 23539152

Greatest Common Factor of 72,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,833 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 72,833 . The biggest common factor number is the GCF number.
So the greatest common factor 72,833 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5712/72, 4121/833

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 5712/72, 4121/833?

Answer: LCM of Numerators as per given numbers 5712/72, 4121/833 is

LCM of Numerators i.e. for 5712,4121 is 23539152

GCF of denominators i.e. for 72,833 is 1.

Thus, LCM of Fractions is 23539152.Finally, LCM of Fractions for 5712/72, 4121/833 is 23539152.