Least Common Multiple of 738/460, 841/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/460, 841/820 quickly i.e. 620658/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/460, 841/820 is 620658/20.

LCM(738/460, 841/820) = 620658/20

LCM of 738/460, 841/820

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 738/460,841/820

Given numbers are 738/460,841/820

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 738,841

Least Common Multiple of Numerators i.e. LCM of 738,841 is 620658.

GCF of Denominators means GCF of 460,820 as per the given fractions.

GCF of 460,820 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,841

LCM of Fractions 738/460,841/820 is 620658/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 620658

Least Common Multiple of 738,841 with GCF Formula

Least Common Multiple of 738,841 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 738,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,841) = 1

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

GCF(738,841) x common factors =1 x 1 = 1

LCM(738,841) = ( 738 × 841 ) / 1

LCM(738,841) = 620658 / 1

LCM(738,841) = 620658


Lets's calculate GCF of 460,820

2 460, 820
2 230, 410
5 115, 205
23, 41

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 620658/20

Therefore the LCM of Fractions 738/460,841/820 is 620658/20

Greatest Common Factor of 460,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,820 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 460,820 . The biggest common factor number is the GCF number.
So the greatest common factor 460,820 is 20.


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 738/460, 841/820

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 738/460, 841/820?

Answer: LCM of Numerators as per given numbers 738/460, 841/820 is

LCM of Numerators i.e. for 738,841 is 620658

GCF of denominators i.e. for 460,820 is 20.

Thus, LCM of Fractions is 620658/20.Finally, LCM of Fractions for 738/460, 841/820 is 620658/20.