Least Common Multiple of 74/820, 3954/7457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/820, 3954/7457 quickly i.e. 146298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/820, 3954/7457 is 146298.

LCM(74/820, 3954/7457) = 146298

LCM of 74/820, 3954/7457

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 74/820,3954/7457

Given numbers are 74/820,3954/7457

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 74,3954

Least Common Multiple of Numerators i.e. LCM of 74,3954 is 146298.

GCF of Denominators means GCF of 820,7457 as per the given fractions.

GCF of 820,7457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,3954

LCM of Fractions 74/820,3954/7457 is 146298

2 74, 3954
37, 1977

∴ So the LCM of the given numbers is 2 x 37 x 1977 = 146298

Least Common Multiple of 74,3954 with GCF Formula

Least Common Multiple of 74,3954 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 74,3954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,3954) = 2

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

GCF(74,3954) x common factors =2 x 1 = 2

LCM(74,3954) = ( 74 × 3954 ) / 2

LCM(74,3954) = 292596 / 2

LCM(74,3954) = 146298


Lets's calculate GCF of 820,7457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146298/1

Therefore the LCM of Fractions 74/820,3954/7457 is 146298

Greatest Common Factor of 820,7457 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,7457 By Matching Biggest Common Factor Method

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

Factors of 7457

List of positive integer factors of 7457 that divides 7457 without a remainder.

1,7457

Greatest Common Factor

We found the factors 820,7457 . The biggest common factor number is the GCF number.
So the greatest common factor 820,7457 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 74/820, 3954/7457

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 74/820, 3954/7457?

Answer: LCM of Numerators as per given numbers 74/820, 3954/7457 is

LCM of Numerators i.e. for 74,3954 is 146298

GCF of denominators i.e. for 820,7457 is 1.

Thus, LCM of Fractions is 146298.Finally, LCM of Fractions for 74/820, 3954/7457 is 146298.