Least Common Multiple of 1432/82, 1642/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1432/82, 1642/974 quickly i.e. 587836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1432/82, 1642/974 is 587836.

LCM(1432/82, 1642/974) = 587836

LCM of 1432/82, 1642/974

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 1432/82,1642/974

Given numbers are 1432/82,1642/974

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 1432,1642

Least Common Multiple of Numerators i.e. LCM of 1432,1642 is 1175672.

GCF of Denominators means GCF of 82,974 as per the given fractions.

GCF of 82,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1432,1642

LCM of Fractions 1432/82,1642/974 is 587836

2 1432, 1642
716, 821

∴ So the LCM of the given numbers is 2 x 716 x 821 = 1175672

Least Common Multiple of 1432,1642 with GCF Formula

Least Common Multiple of 1432,1642 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 1432,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1432,1642) = 2

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

GCF(1432,1642) x common factors =2 x 1 = 2

LCM(1432,1642) = ( 1432 × 1642 ) / 2

LCM(1432,1642) = 2351344 / 2

LCM(1432,1642) = 1175672


Lets's calculate GCF of 82,974

2 82, 974
41, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1175672/2

Therefore the LCM of Fractions 1432/82,1642/974 is 587836

Greatest Common Factor of 82,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,974 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 82,974 . The biggest common factor number is the GCF number.
So the greatest common factor 82,974 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 1432/82, 1642/974

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 1432/82, 1642/974?

Answer: LCM of Numerators as per given numbers 1432/82, 1642/974 is

LCM of Numerators i.e. for 1432,1642 is 1175672

GCF of denominators i.e. for 82,974 is 2.

Thus, LCM of Fractions is 587836.Finally, LCM of Fractions for 1432/82, 1642/974 is 587836.