Least Common Multiple of 484/707, 443/654, 264/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 484/707, 443/654, 264/499 quickly i.e. 1286472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/707, 443/654, 264/499 is 1286472.

LCM(484/707, 443/654, 264/499) = 1286472

LCM of 484/707, 443/654, 264/499

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 484/707,443/654,264/499

Given numbers are 484/707,443/654,264/499

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 484,443,264

Least Common Multiple of Numerators i.e. LCM of 484,443,264 is 1286472.

GCF of Denominators means GCF of 707,654,499 as per the given fractions.

GCF of 707,654,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,443,264

LCM of Fractions 484/707,443/654,264/499 is 1286472

2 484, 443, 264
2 242, 443, 132
11 121, 443, 66
11, 443, 6

∴ So the LCM of the given numbers is 2 x 2 x 11 x 11 x 443 x 6 = 1286472

Least Common Multiple of 484,443,264 with GCF Formula

Least Common Multiple of 484,443,264 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 484,443,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,443,264) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(484,443,264) x common factors =1 x 44 = 44

LCM(484,443,264) = ( 484 × 443 × 264 ) / 44

LCM(484,443,264) = 56604768 / 44

LCM(484,443,264) = 1286472


Lets's calculate GCF of 707,654,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1286472/1

Therefore the LCM of Fractions 484/707,443/654,264/499 is 1286472

Greatest Common Factor of 707,654,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,654,499 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 707,654,499 . The biggest common factor number is the GCF number.
So the greatest common factor 707,654,499 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 484/707, 443/654, 264/499

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 484/707, 443/654, 264/499?

Answer: LCM of Numerators as per given numbers 484/707, 443/654, 264/499 is

LCM of Numerators i.e. for 484,443,264 is 1286472

GCF of denominators i.e. for 707,654,499 is 1.

Thus, LCM of Fractions is 1286472.Finally, LCM of Fractions for 484/707, 443/654, 264/499 is 1286472.