Least Common Multiple of 6524/873, 1066/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6524/873, 1066/474 quickly i.e. 3477292/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6524/873, 1066/474 is 3477292/3.

LCM(6524/873, 1066/474) = 3477292/3

LCM of 6524/873, 1066/474

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 6524/873,1066/474

Given numbers are 6524/873,1066/474

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 6524,1066

Least Common Multiple of Numerators i.e. LCM of 6524,1066 is 3477292.

GCF of Denominators means GCF of 873,474 as per the given fractions.

GCF of 873,474 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6524,1066

LCM of Fractions 6524/873,1066/474 is 3477292/3

2 6524, 1066
3262, 533

∴ So the LCM of the given numbers is 2 x 3262 x 533 = 3477292

Least Common Multiple of 6524,1066 with GCF Formula

Least Common Multiple of 6524,1066 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 6524,1066 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6524,1066) = 2

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

GCF(6524,1066) x common factors =2 x 1 = 2

LCM(6524,1066) = ( 6524 × 1066 ) / 2

LCM(6524,1066) = 6954584 / 2

LCM(6524,1066) = 3477292


Lets's calculate GCF of 873,474

3 873, 474
291, 158

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3477292/3

Therefore the LCM of Fractions 6524/873,1066/474 is 3477292/3

Greatest Common Factor of 873,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,474 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 873,474 . The biggest common factor number is the GCF number.
So the greatest common factor 873,474 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6524/873, 1066/474

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 6524/873, 1066/474?

Answer: LCM of Numerators as per given numbers 6524/873, 1066/474 is

LCM of Numerators i.e. for 6524,1066 is 3477292

GCF of denominators i.e. for 873,474 is 3.

Thus, LCM of Fractions is 3477292/3.Finally, LCM of Fractions for 6524/873, 1066/474 is 3477292/3.