Least Common Multiple of 744/99, 430/44, 367/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 744/99, 430/44, 367/659 quickly i.e. 58705320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/99, 430/44, 367/659 is 58705320.

LCM(744/99, 430/44, 367/659) = 58705320

LCM of 744/99, 430/44, 367/659

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 744/99,430/44,367/659

Given numbers are 744/99,430/44,367/659

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 744,430,367

Least Common Multiple of Numerators i.e. LCM of 744,430,367 is 58705320.

GCF of Denominators means GCF of 99,44,659 as per the given fractions.

GCF of 99,44,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,430,367

LCM of Fractions 744/99,430/44,367/659 is 58705320

2 744, 430, 367
372, 215, 367

∴ So the LCM of the given numbers is 2 x 372 x 215 x 367 = 58705320

Least Common Multiple of 744,430,367 with GCF Formula

Least Common Multiple of 744,430,367 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 744,430,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,430,367) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(744,430,367) x common factors =1 x 2 = 2

LCM(744,430,367) = ( 744 × 430 × 367 ) / 2

LCM(744,430,367) = 117410640 / 2

LCM(744,430,367) = 58705320


Lets's calculate GCF of 99,44,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58705320/1

Therefore the LCM of Fractions 744/99,430/44,367/659 is 58705320

Greatest Common Factor of 99,44,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,44,659 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 44

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

1,2,4,11,22,44

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 99,44,659 . The biggest common factor number is the GCF number.
So the greatest common factor 99,44,659 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 744/99, 430/44, 367/659

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 744/99, 430/44, 367/659?

Answer: LCM of Numerators as per given numbers 744/99, 430/44, 367/659 is

LCM of Numerators i.e. for 744,430,367 is 58705320

GCF of denominators i.e. for 99,44,659 is 1.

Thus, LCM of Fractions is 58705320.Finally, LCM of Fractions for 744/99, 430/44, 367/659 is 58705320.