Least Common Multiple of 977/443, 698/910, 326/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/443, 698/910, 326/576 quickly i.e. 111157198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/443, 698/910, 326/576 is 111157198.

LCM(977/443, 698/910, 326/576) = 111157198

LCM of 977/443, 698/910, 326/576

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 977/443,698/910,326/576

Given numbers are 977/443,698/910,326/576

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 977,698,326

Least Common Multiple of Numerators i.e. LCM of 977,698,326 is 111157198.

GCF of Denominators means GCF of 443,910,576 as per the given fractions.

GCF of 443,910,576 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,698,326

LCM of Fractions 977/443,698/910,326/576 is 111157198

2 977, 698, 326
977, 349, 163

∴ So the LCM of the given numbers is 2 x 977 x 349 x 163 = 111157198

Least Common Multiple of 977,698,326 with GCF Formula

Least Common Multiple of 977,698,326 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 977,698,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,698,326) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(977,698,326) x common factors =1 x 2 = 2

LCM(977,698,326) = ( 977 × 698 × 326 ) / 2

LCM(977,698,326) = 222314396 / 2

LCM(977,698,326) = 111157198


Lets's calculate GCF of 443,910,576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111157198/1

Therefore the LCM of Fractions 977/443,698/910,326/576 is 111157198

Greatest Common Factor of 443,910,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,910,576 By Matching Biggest Common Factor Method

Factors of 443

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

1,443

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 443,910,576 . The biggest common factor number is the GCF number.
So the greatest common factor 443,910,576 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 977/443, 698/910, 326/576

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 977/443, 698/910, 326/576?

Answer: LCM of Numerators as per given numbers 977/443, 698/910, 326/576 is

LCM of Numerators i.e. for 977,698,326 is 111157198

GCF of denominators i.e. for 443,910,576 is 1.

Thus, LCM of Fractions is 111157198.Finally, LCM of Fractions for 977/443, 698/910, 326/576 is 111157198.