Least Common Multiple of 734/12, 940/21, 677/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/12, 940/21, 677/16 quickly i.e. 233551460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/12, 940/21, 677/16 is 233551460.

LCM(734/12, 940/21, 677/16) = 233551460

LCM of 734/12, 940/21, 677/16

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 734/12,940/21,677/16

Given numbers are 734/12,940/21,677/16

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 734,940,677

Least Common Multiple of Numerators i.e. LCM of 734,940,677 is 233551460.

GCF of Denominators means GCF of 12,21,16 as per the given fractions.

GCF of 12,21,16 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,940,677

LCM of Fractions 734/12,940/21,677/16 is 233551460

2 734, 940, 677
367, 470, 677

∴ So the LCM of the given numbers is 2 x 367 x 470 x 677 = 233551460

Least Common Multiple of 734,940,677 with GCF Formula

Least Common Multiple of 734,940,677 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 734,940,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,940,677) = 1

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

GCF(734,940,677) x common factors =1 x 2 = 2

LCM(734,940,677) = ( 734 × 940 × 677 ) / 2

LCM(734,940,677) = 467102920 / 2

LCM(734,940,677) = 233551460


Lets's calculate GCF of 12,21,16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233551460/1

Therefore the LCM of Fractions 734/12,940/21,677/16 is 233551460

Greatest Common Factor of 12,21,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,21,16 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 12,21,16 . The biggest common factor number is the GCF number.
So the greatest common factor 12,21,16 is 1.


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 734/12, 940/21, 677/16

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 734/12, 940/21, 677/16?

Answer: LCM of Numerators as per given numbers 734/12, 940/21, 677/16 is

LCM of Numerators i.e. for 734,940,677 is 233551460

GCF of denominators i.e. for 12,21,16 is 1.

Thus, LCM of Fractions is 233551460.Finally, LCM of Fractions for 734/12, 940/21, 677/16 is 233551460.