Least Common Multiple of 889/456, 645/694, 764/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 889/456, 645/694, 764/443 quickly i.e. 438081420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 889/456, 645/694, 764/443 is 438081420.

LCM(889/456, 645/694, 764/443) = 438081420

LCM of 889/456, 645/694, 764/443

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 889/456,645/694,764/443

Given numbers are 889/456,645/694,764/443

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 889,645,764

Least Common Multiple of Numerators i.e. LCM of 889,645,764 is 438081420.

GCF of Denominators means GCF of 456,694,443 as per the given fractions.

GCF of 456,694,443 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 889,645,764

LCM of Fractions 889/456,645/694,764/443 is 438081420

Given numbers has no common factors except 1. So, there LCM is their product i.e 438081420

Least Common Multiple of 889,645,764 with GCF Formula

Least Common Multiple of 889,645,764 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 889,645,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,645,764) = 1

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

GCF(889,645,764) x common factors =1 x 1 = 1

LCM(889,645,764) = ( 889 × 645 × 764 ) / 1

LCM(889,645,764) = 438081420 / 1

LCM(889,645,764) = 438081420


Lets's calculate GCF of 456,694,443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438081420/1

Therefore the LCM of Fractions 889/456,645/694,764/443 is 438081420

Greatest Common Factor of 456,694,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,694,443 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors 456,694,443 . The biggest common factor number is the GCF number.
So the greatest common factor 456,694,443 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 889/456, 645/694, 764/443

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 889/456, 645/694, 764/443?

Answer: LCM of Numerators as per given numbers 889/456, 645/694, 764/443 is

LCM of Numerators i.e. for 889,645,764 is 438081420

GCF of denominators i.e. for 456,694,443 is 1.

Thus, LCM of Fractions is 438081420.Finally, LCM of Fractions for 889/456, 645/694, 764/443 is 438081420.