Least Common Multiple of 322/960, 9818/5696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 322/960, 9818/5696 quickly i.e. 1580698/64 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 322/960, 9818/5696 is 1580698/64.

LCM(322/960, 9818/5696) = 1580698/64

LCM of 322/960, 9818/5696

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 322/960,9818/5696

Given numbers are 322/960,9818/5696

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 322,9818

Least Common Multiple of Numerators i.e. LCM of 322,9818 is 1580698.

GCF of Denominators means GCF of 960,5696 as per the given fractions.

GCF of 960,5696 is 64 as it is the largest common factor for these numbers.

Lets's calculate LCM of 322,9818

LCM of Fractions 322/960,9818/5696 is 1580698/64

2 322, 9818
161, 4909

∴ So the LCM of the given numbers is 2 x 161 x 4909 = 1580698

Least Common Multiple of 322,9818 with GCF Formula

Least Common Multiple of 322,9818 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 322,9818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,9818) = 2

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

GCF(322,9818) x common factors =2 x 1 = 2

LCM(322,9818) = ( 322 × 9818 ) / 2

LCM(322,9818) = 3161396 / 2

LCM(322,9818) = 1580698


Lets's calculate GCF of 960,5696

2 960, 5696
2 480, 2848
2 240, 1424
2 120, 712
2 60, 356
2 30, 178
15, 89

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1580698/64

Therefore the LCM of Fractions 322/960,9818/5696 is 1580698/64

Greatest Common Factor of 960,5696 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,5696 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 5696

List of positive integer factors of 5696 that divides 5696 without a remainder.

1,2,4,8,16,32,64,89,178,356,712,1424,2848,5696

Greatest Common Factor

We found the factors 960,5696 . The biggest common factor number is the GCF number.
So the greatest common factor 960,5696 is 64.


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 322/960, 9818/5696

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 322/960, 9818/5696?

Answer: LCM of Numerators as per given numbers 322/960, 9818/5696 is

LCM of Numerators i.e. for 322,9818 is 1580698

GCF of denominators i.e. for 960,5696 is 64.

Thus, LCM of Fractions is 1580698/64.Finally, LCM of Fractions for 322/960, 9818/5696 is 1580698/64.