Least Common Multiple of 560/549, 9976/8322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/549, 9976/8322 quickly i.e. 698320/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/549, 9976/8322 is 698320/3.

LCM(560/549, 9976/8322) = 698320/3

LCM of 560/549, 9976/8322

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 560/549,9976/8322

Given numbers are 560/549,9976/8322

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 560,9976

Least Common Multiple of Numerators i.e. LCM of 560,9976 is 698320.

GCF of Denominators means GCF of 549,8322 as per the given fractions.

GCF of 549,8322 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,9976

LCM of Fractions 560/549,9976/8322 is 698320/3

2 560, 9976
2 280, 4988
2 140, 2494
70, 1247

∴ So the LCM of the given numbers is 2 x 2 x 2 x 70 x 1247 = 698320

Least Common Multiple of 560,9976 with GCF Formula

Least Common Multiple of 560,9976 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 560,9976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,9976) = 8

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

GCF(560,9976) x common factors =8 x 1 = 8

LCM(560,9976) = ( 560 × 9976 ) / 8

LCM(560,9976) = 5586560 / 8

LCM(560,9976) = 698320


Lets's calculate GCF of 549,8322

3 549, 8322
183, 2774

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 698320/3

Therefore the LCM of Fractions 560/549,9976/8322 is 698320/3

Greatest Common Factor of 549,8322 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,8322 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322

Greatest Common Factor

We found the factors 549,8322 . The biggest common factor number is the GCF number.
So the greatest common factor 549,8322 is 3.


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 560/549, 9976/8322

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 560/549, 9976/8322?

Answer: LCM of Numerators as per given numbers 560/549, 9976/8322 is

LCM of Numerators i.e. for 560,9976 is 698320

GCF of denominators i.e. for 549,8322 is 3.

Thus, LCM of Fractions is 698320/3.Finally, LCM of Fractions for 560/549, 9976/8322 is 698320/3.