Least Common Multiple of 84/266, 96/350, 481/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/266, 96/350, 481/830 quickly i.e. 161616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/266, 96/350, 481/830 is 161616.

LCM(84/266, 96/350, 481/830) = 161616

LCM of 84/266, 96/350, 481/830

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 84/266,96/350,481/830

Given numbers are 84/266,96/350,481/830

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 84,96,481

Least Common Multiple of Numerators i.e. LCM of 84,96,481 is 323232.

GCF of Denominators means GCF of 266,350,830 as per the given fractions.

GCF of 266,350,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,96,481

LCM of Fractions 84/266,96/350,481/830 is 161616

2 84, 96, 481
2 42, 48, 481
3 21, 24, 481
7, 8, 481

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 481 = 323232

Least Common Multiple of 84,96,481 with GCF Formula

Least Common Multiple of 84,96,481 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 84,96,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,96,481) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,96,481) x common factors =1 x 12 = 12

LCM(84,96,481) = ( 84 × 96 × 481 ) / 12

LCM(84,96,481) = 3878784 / 12

LCM(84,96,481) = 323232


Lets's calculate GCF of 266,350,830

2 266, 350, 830
133, 175, 415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323232/2

Therefore the LCM of Fractions 84/266,96/350,481/830 is 161616

Greatest Common Factor of 266,350,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,350,830 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 266,350,830 . The biggest common factor number is the GCF number.
So the greatest common factor 266,350,830 is 2.


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 84/266, 96/350, 481/830

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 84/266, 96/350, 481/830?

Answer: LCM of Numerators as per given numbers 84/266, 96/350, 481/830 is

LCM of Numerators i.e. for 84,96,481 is 323232

GCF of denominators i.e. for 266,350,830 is 2.

Thus, LCM of Fractions is 161616.Finally, LCM of Fractions for 84/266, 96/350, 481/830 is 161616.