Least Common Multiple of 664/887, 744/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/887, 744/462 quickly i.e. 61752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/887, 744/462 is 61752.

LCM(664/887, 744/462) = 61752

LCM of 664/887, 744/462

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 664/887,744/462

Given numbers are 664/887,744/462

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 664,744

Least Common Multiple of Numerators i.e. LCM of 664,744 is 61752.

GCF of Denominators means GCF of 887,462 as per the given fractions.

GCF of 887,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,744

LCM of Fractions 664/887,744/462 is 61752

2 664, 744
2 332, 372
2 166, 186
83, 93

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 93 = 61752

Least Common Multiple of 664,744 with GCF Formula

Least Common Multiple of 664,744 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 664,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,744) = 8

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

GCF(664,744) x common factors =8 x 1 = 8

LCM(664,744) = ( 664 × 744 ) / 8

LCM(664,744) = 494016 / 8

LCM(664,744) = 61752


Lets's calculate GCF of 887,462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61752/1

Therefore the LCM of Fractions 664/887,744/462 is 61752

Greatest Common Factor of 887,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,462 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 887,462 . The biggest common factor number is the GCF number.
So the greatest common factor 887,462 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 664/887, 744/462

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 664/887, 744/462?

Answer: LCM of Numerators as per given numbers 664/887, 744/462 is

LCM of Numerators i.e. for 664,744 is 61752

GCF of denominators i.e. for 887,462 is 1.

Thus, LCM of Fractions is 61752.Finally, LCM of Fractions for 664/887, 744/462 is 61752.