Least Common Multiple of 745/32, 404/65, 691/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 745/32, 404/65, 691/37 quickly i.e. 207977180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/32, 404/65, 691/37 is 207977180.

LCM(745/32, 404/65, 691/37) = 207977180

LCM of 745/32, 404/65, 691/37

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 745/32,404/65,691/37

Given numbers are 745/32,404/65,691/37

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 745,404,691

Least Common Multiple of Numerators i.e. LCM of 745,404,691 is 207977180.

GCF of Denominators means GCF of 32,65,37 as per the given fractions.

GCF of 32,65,37 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,404,691

LCM of Fractions 745/32,404/65,691/37 is 207977180

Given numbers has no common factors except 1. So, there LCM is their product i.e 207977180

Least Common Multiple of 745,404,691 with GCF Formula

Least Common Multiple of 745,404,691 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 745,404,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,404,691) = 1

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

GCF(745,404,691) x common factors =1 x 1 = 1

LCM(745,404,691) = ( 745 × 404 × 691 ) / 1

LCM(745,404,691) = 207977180 / 1

LCM(745,404,691) = 207977180


Lets's calculate GCF of 32,65,37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207977180/1

Therefore the LCM of Fractions 745/32,404/65,691/37 is 207977180

Greatest Common Factor of 32,65,37 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,65,37 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors 32,65,37 . The biggest common factor number is the GCF number.
So the greatest common factor 32,65,37 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 745/32, 404/65, 691/37

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 745/32, 404/65, 691/37?

Answer: LCM of Numerators as per given numbers 745/32, 404/65, 691/37 is

LCM of Numerators i.e. for 745,404,691 is 207977180

GCF of denominators i.e. for 32,65,37 is 1.

Thus, LCM of Fractions is 207977180.Finally, LCM of Fractions for 745/32, 404/65, 691/37 is 207977180.