Least Common Multiple of 797/14, 653/46, 668/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 797/14, 653/46, 668/614 quickly i.e. 173827294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 797/14, 653/46, 668/614 is 173827294.

LCM(797/14, 653/46, 668/614) = 173827294

LCM of 797/14, 653/46, 668/614

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 797/14,653/46,668/614

Given numbers are 797/14,653/46,668/614

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 797,653,668

Least Common Multiple of Numerators i.e. LCM of 797,653,668 is 347654588.

GCF of Denominators means GCF of 14,46,614 as per the given fractions.

GCF of 14,46,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 797,653,668

LCM of Fractions 797/14,653/46,668/614 is 173827294

Given numbers has no common factors except 1. So, there LCM is their product i.e 347654588

Least Common Multiple of 797,653,668 with GCF Formula

Least Common Multiple of 797,653,668 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 797,653,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,653,668) = 1

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

GCF(797,653,668) x common factors =1 x 1 = 1

LCM(797,653,668) = ( 797 × 653 × 668 ) / 1

LCM(797,653,668) = 347654588 / 1

LCM(797,653,668) = 347654588


Lets's calculate GCF of 14,46,614

2 14, 46, 614
7, 23, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347654588/2

Therefore the LCM of Fractions 797/14,653/46,668/614 is 173827294

Greatest Common Factor of 14,46,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,46,614 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 14,46,614 . The biggest common factor number is the GCF number.
So the greatest common factor 14,46,614 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 797/14, 653/46, 668/614

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 797/14, 653/46, 668/614?

Answer: LCM of Numerators as per given numbers 797/14, 653/46, 668/614 is

LCM of Numerators i.e. for 797,653,668 is 347654588

GCF of denominators i.e. for 14,46,614 is 2.

Thus, LCM of Fractions is 173827294.Finally, LCM of Fractions for 797/14, 653/46, 668/614 is 173827294.