Least Common Multiple of 14/621, 58/672, 377/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/621, 58/672, 377/841 quickly i.e. 5278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/621, 58/672, 377/841 is 5278.

LCM(14/621, 58/672, 377/841) = 5278

LCM of 14/621, 58/672, 377/841

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 14/621,58/672,377/841

Given numbers are 14/621,58/672,377/841

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 14,58,377

Least Common Multiple of Numerators i.e. LCM of 14,58,377 is 5278.

GCF of Denominators means GCF of 621,672,841 as per the given fractions.

GCF of 621,672,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,58,377

LCM of Fractions 14/621,58/672,377/841 is 5278

2 14, 58, 377
29 7, 29, 377
7, 1, 13

∴ So the LCM of the given numbers is 2 x 29 x 7 x 1 x 13 = 5278

Least Common Multiple of 14,58,377 with GCF Formula

Least Common Multiple of 14,58,377 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 14,58,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,58,377) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(14,58,377) x common factors =1 x 58 = 58

LCM(14,58,377) = ( 14 × 58 × 377 ) / 58

LCM(14,58,377) = 306124 / 58

LCM(14,58,377) = 5278


Lets's calculate GCF of 621,672,841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5278/1

Therefore the LCM of Fractions 14/621,58/672,377/841 is 5278

Greatest Common Factor of 621,672,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,672,841 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 621,672,841 . The biggest common factor number is the GCF number.
So the greatest common factor 621,672,841 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 14/621, 58/672, 377/841

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 14/621, 58/672, 377/841?

Answer: LCM of Numerators as per given numbers 14/621, 58/672, 377/841 is

LCM of Numerators i.e. for 14,58,377 is 5278

GCF of denominators i.e. for 621,672,841 is 1.

Thus, LCM of Fractions is 5278.Finally, LCM of Fractions for 14/621, 58/672, 377/841 is 5278.