Least Common Multiple of 491/649, 897/886, 352/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/649, 897/886, 352/824 quickly i.e. 155030304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/649, 897/886, 352/824 is 155030304.

LCM(491/649, 897/886, 352/824) = 155030304

LCM of 491/649, 897/886, 352/824

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 491/649,897/886,352/824

Given numbers are 491/649,897/886,352/824

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 491,897,352

Least Common Multiple of Numerators i.e. LCM of 491,897,352 is 155030304.

GCF of Denominators means GCF of 649,886,824 as per the given fractions.

GCF of 649,886,824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,897,352

LCM of Fractions 491/649,897/886,352/824 is 155030304

Given numbers has no common factors except 1. So, there LCM is their product i.e 155030304

Least Common Multiple of 491,897,352 with GCF Formula

Least Common Multiple of 491,897,352 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 491,897,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,897,352) = 1

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

GCF(491,897,352) x common factors =1 x 1 = 1

LCM(491,897,352) = ( 491 × 897 × 352 ) / 1

LCM(491,897,352) = 155030304 / 1

LCM(491,897,352) = 155030304


Lets's calculate GCF of 649,886,824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155030304/1

Therefore the LCM of Fractions 491/649,897/886,352/824 is 155030304

Greatest Common Factor of 649,886,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,886,824 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 649,886,824 . The biggest common factor number is the GCF number.
So the greatest common factor 649,886,824 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 491/649, 897/886, 352/824

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 491/649, 897/886, 352/824?

Answer: LCM of Numerators as per given numbers 491/649, 897/886, 352/824 is

LCM of Numerators i.e. for 491,897,352 is 155030304

GCF of denominators i.e. for 649,886,824 is 1.

Thus, LCM of Fractions is 155030304.Finally, LCM of Fractions for 491/649, 897/886, 352/824 is 155030304.