Least Common Multiple of 649/374, 667/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/374, 667/734 quickly i.e. 432883/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/374, 667/734 is 432883/2.

LCM(649/374, 667/734) = 432883/2

LCM of 649/374, 667/734

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 649/374,667/734

Given numbers are 649/374,667/734

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 649,667

Least Common Multiple of Numerators i.e. LCM of 649,667 is 432883.

GCF of Denominators means GCF of 374,734 as per the given fractions.

GCF of 374,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,667

LCM of Fractions 649/374,667/734 is 432883/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 432883

Least Common Multiple of 649,667 with GCF Formula

Least Common Multiple of 649,667 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 649,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,667) = 1

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

GCF(649,667) x common factors =1 x 1 = 1

LCM(649,667) = ( 649 × 667 ) / 1

LCM(649,667) = 432883 / 1

LCM(649,667) = 432883


Lets's calculate GCF of 374,734

2 374, 734
187, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 432883/2

Therefore the LCM of Fractions 649/374,667/734 is 432883/2

Greatest Common Factor of 374,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,734 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 374,734 . The biggest common factor number is the GCF number.
So the greatest common factor 374,734 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 649/374, 667/734

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 649/374, 667/734?

Answer: LCM of Numerators as per given numbers 649/374, 667/734 is

LCM of Numerators i.e. for 649,667 is 432883

GCF of denominators i.e. for 374,734 is 2.

Thus, LCM of Fractions is 432883/2.Finally, LCM of Fractions for 649/374, 667/734 is 432883/2.