Least Common Multiple of 82/262, 461/414, 654/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/262, 461/414, 654/142 quickly i.e. 6180627 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/262, 461/414, 654/142 is 6180627.

LCM(82/262, 461/414, 654/142) = 6180627

LCM of 82/262, 461/414, 654/142

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 82/262,461/414,654/142

Given numbers are 82/262,461/414,654/142

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 82,461,654

Least Common Multiple of Numerators i.e. LCM of 82,461,654 is 12361254.

GCF of Denominators means GCF of 262,414,142 as per the given fractions.

GCF of 262,414,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,461,654

LCM of Fractions 82/262,461/414,654/142 is 6180627

2 82, 461, 654
41, 461, 327

∴ So the LCM of the given numbers is 2 x 41 x 461 x 327 = 12361254

Least Common Multiple of 82,461,654 with GCF Formula

Least Common Multiple of 82,461,654 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 82,461,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,461,654) = 1

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

GCF(82,461,654) x common factors =1 x 2 = 2

LCM(82,461,654) = ( 82 × 461 × 654 ) / 2

LCM(82,461,654) = 24722508 / 2

LCM(82,461,654) = 12361254


Lets's calculate GCF of 262,414,142

2 262, 414, 142
131, 207, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12361254/2

Therefore the LCM of Fractions 82/262,461/414,654/142 is 6180627

Greatest Common Factor of 262,414,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,414,142 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 262,414,142 . The biggest common factor number is the GCF number.
So the greatest common factor 262,414,142 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 82/262, 461/414, 654/142

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 82/262, 461/414, 654/142?

Answer: LCM of Numerators as per given numbers 82/262, 461/414, 654/142 is

LCM of Numerators i.e. for 82,461,654 is 12361254

GCF of denominators i.e. for 262,414,142 is 2.

Thus, LCM of Fractions is 6180627.Finally, LCM of Fractions for 82/262, 461/414, 654/142 is 6180627.