Least Common Multiple of 83/23, 792/44, 433/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/23, 792/44, 433/697 quickly i.e. 28463688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/23, 792/44, 433/697 is 28463688.

LCM(83/23, 792/44, 433/697) = 28463688

LCM of 83/23, 792/44, 433/697

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 83/23,792/44,433/697

Given numbers are 83/23,792/44,433/697

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 83,792,433

Least Common Multiple of Numerators i.e. LCM of 83,792,433 is 28463688.

GCF of Denominators means GCF of 23,44,697 as per the given fractions.

GCF of 23,44,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,792,433

LCM of Fractions 83/23,792/44,433/697 is 28463688

Given numbers has no common factors except 1. So, there LCM is their product i.e 28463688

Least Common Multiple of 83,792,433 with GCF Formula

Least Common Multiple of 83,792,433 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 83,792,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,792,433) = 1

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

GCF(83,792,433) x common factors =1 x 1 = 1

LCM(83,792,433) = ( 83 × 792 × 433 ) / 1

LCM(83,792,433) = 28463688 / 1

LCM(83,792,433) = 28463688


Lets's calculate GCF of 23,44,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28463688/1

Therefore the LCM of Fractions 83/23,792/44,433/697 is 28463688

Greatest Common Factor of 23,44,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,44,697 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 23,44,697 . The biggest common factor number is the GCF number.
So the greatest common factor 23,44,697 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/23, 792/44, 433/697

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 83/23, 792/44, 433/697?

Answer: LCM of Numerators as per given numbers 83/23, 792/44, 433/697 is

LCM of Numerators i.e. for 83,792,433 is 28463688

GCF of denominators i.e. for 23,44,697 is 1.

Thus, LCM of Fractions is 28463688.Finally, LCM of Fractions for 83/23, 792/44, 433/697 is 28463688.