Least Common Multiple of 1694/651, 5956/1232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1694/651, 5956/1232 quickly i.e. 720676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1694/651, 5956/1232 is 720676.

LCM(1694/651, 5956/1232) = 720676

LCM of 1694/651, 5956/1232

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 1694/651,5956/1232

Given numbers are 1694/651,5956/1232

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 1694,5956

Least Common Multiple of Numerators i.e. LCM of 1694,5956 is 5044732.

GCF of Denominators means GCF of 651,1232 as per the given fractions.

GCF of 651,1232 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1694,5956

LCM of Fractions 1694/651,5956/1232 is 720676

2 1694, 5956
847, 2978

∴ So the LCM of the given numbers is 2 x 847 x 2978 = 5044732

Least Common Multiple of 1694,5956 with GCF Formula

Least Common Multiple of 1694,5956 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 1694,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1694,5956) = 2

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

GCF(1694,5956) x common factors =2 x 1 = 2

LCM(1694,5956) = ( 1694 × 5956 ) / 2

LCM(1694,5956) = 10089464 / 2

LCM(1694,5956) = 5044732


Lets's calculate GCF of 651,1232

7 651, 1232
93, 176

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5044732/7

Therefore the LCM of Fractions 1694/651,5956/1232 is 720676

Greatest Common Factor of 651,1232 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,1232 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 1232

List of positive integer factors of 1232 that divides 1232 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Greatest Common Factor

We found the factors 651,1232 . The biggest common factor number is the GCF number.
So the greatest common factor 651,1232 is 7.


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 1694/651, 5956/1232

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 1694/651, 5956/1232?

Answer: LCM of Numerators as per given numbers 1694/651, 5956/1232 is

LCM of Numerators i.e. for 1694,5956 is 5044732

GCF of denominators i.e. for 651,1232 is 7.

Thus, LCM of Fractions is 720676.Finally, LCM of Fractions for 1694/651, 5956/1232 is 720676.