Least Common Multiple of 2971/526, 5458/5440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2971/526, 5458/5440 quickly i.e. 8107859 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2971/526, 5458/5440 is 8107859.

LCM(2971/526, 5458/5440) = 8107859

LCM of 2971/526, 5458/5440

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 2971/526,5458/5440

Given numbers are 2971/526,5458/5440

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 2971,5458

Least Common Multiple of Numerators i.e. LCM of 2971,5458 is 16215718.

GCF of Denominators means GCF of 526,5440 as per the given fractions.

GCF of 526,5440 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2971,5458

LCM of Fractions 2971/526,5458/5440 is 8107859

Given numbers has no common factors except 1. So, there LCM is their product i.e 16215718

Least Common Multiple of 2971,5458 with GCF Formula

Least Common Multiple of 2971,5458 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 2971,5458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2971,5458) = 1

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

GCF(2971,5458) x common factors =1 x 1 = 1

LCM(2971,5458) = ( 2971 × 5458 ) / 1

LCM(2971,5458) = 16215718 / 1

LCM(2971,5458) = 16215718


Lets's calculate GCF of 526,5440

2 526, 5440
263, 2720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16215718/2

Therefore the LCM of Fractions 2971/526,5458/5440 is 8107859

Greatest Common Factor of 526,5440 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,5440 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Greatest Common Factor

We found the factors 526,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 526,5440 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 2971/526, 5458/5440

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 2971/526, 5458/5440?

Answer: LCM of Numerators as per given numbers 2971/526, 5458/5440 is

LCM of Numerators i.e. for 2971,5458 is 16215718

GCF of denominators i.e. for 526,5440 is 2.

Thus, LCM of Fractions is 8107859.Finally, LCM of Fractions for 2971/526, 5458/5440 is 8107859.