Least Common Multiple of 82/454, 11/736, 143/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/454, 11/736, 143/307 quickly i.e. 11726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/454, 11/736, 143/307 is 11726.

LCM(82/454, 11/736, 143/307) = 11726

LCM of 82/454, 11/736, 143/307

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 82/454,11/736,143/307

Given numbers are 82/454,11/736,143/307

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 82,11,143

Least Common Multiple of Numerators i.e. LCM of 82,11,143 is 11726.

GCF of Denominators means GCF of 454,736,307 as per the given fractions.

GCF of 454,736,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,11,143

LCM of Fractions 82/454,11/736,143/307 is 11726

11 82, 11, 143
82, 1, 13

∴ So the LCM of the given numbers is 11 x 82 x 1 x 13 = 11726

Least Common Multiple of 82,11,143 with GCF Formula

Least Common Multiple of 82,11,143 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 82,11,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,11,143) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(82,11,143) x common factors =1 x 11 = 11

LCM(82,11,143) = ( 82 × 11 × 143 ) / 11

LCM(82,11,143) = 128986 / 11

LCM(82,11,143) = 11726


Lets's calculate GCF of 454,736,307

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11726/1

Therefore the LCM of Fractions 82/454,11/736,143/307 is 11726

Greatest Common Factor of 454,736,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,736,307 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 454,736,307 . The biggest common factor number is the GCF number.
So the greatest common factor 454,736,307 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/454, 11/736, 143/307

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 82/454, 11/736, 143/307?

Answer: LCM of Numerators as per given numbers 82/454, 11/736, 143/307 is

LCM of Numerators i.e. for 82,11,143 is 11726

GCF of denominators i.e. for 454,736,307 is 1.

Thus, LCM of Fractions is 11726.Finally, LCM of Fractions for 82/454, 11/736, 143/307 is 11726.