Least Common Multiple of 66/84, 498/82, 256/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/84, 498/82, 256/548 quickly i.e. 350592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/84, 498/82, 256/548 is 350592.

LCM(66/84, 498/82, 256/548) = 350592

LCM of 66/84, 498/82, 256/548

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 66/84,498/82,256/548

Given numbers are 66/84,498/82,256/548

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 66,498,256

Least Common Multiple of Numerators i.e. LCM of 66,498,256 is 701184.

GCF of Denominators means GCF of 84,82,548 as per the given fractions.

GCF of 84,82,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,498,256

LCM of Fractions 66/84,498/82,256/548 is 350592

2 66, 498, 256
3 33, 249, 128
11, 83, 128

∴ So the LCM of the given numbers is 2 x 3 x 11 x 83 x 128 = 701184

Least Common Multiple of 66,498,256 with GCF Formula

Least Common Multiple of 66,498,256 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 66,498,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,498,256) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(66,498,256) x common factors =2 x 6 = 12

LCM(66,498,256) = ( 66 × 498 × 256 ) / 12

LCM(66,498,256) = 8414208 / 12

LCM(66,498,256) = 701184


Lets's calculate GCF of 84,82,548

2 84, 82, 548
42, 41, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 701184/2

Therefore the LCM of Fractions 66/84,498/82,256/548 is 350592

Greatest Common Factor of 84,82,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,82,548 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 84,82,548 . The biggest common factor number is the GCF number.
So the greatest common factor 84,82,548 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 66/84, 498/82, 256/548

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 66/84, 498/82, 256/548?

Answer: LCM of Numerators as per given numbers 66/84, 498/82, 256/548 is

LCM of Numerators i.e. for 66,498,256 is 701184

GCF of denominators i.e. for 84,82,548 is 2.

Thus, LCM of Fractions is 350592.Finally, LCM of Fractions for 66/84, 498/82, 256/548 is 350592.