Least Common Multiple of 30/182, 29/938, 146/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/182, 29/938, 146/289 quickly i.e. 63510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/182, 29/938, 146/289 is 63510.

LCM(30/182, 29/938, 146/289) = 63510

LCM of 30/182, 29/938, 146/289

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 30/182,29/938,146/289

Given numbers are 30/182,29/938,146/289

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 30,29,146

Least Common Multiple of Numerators i.e. LCM of 30,29,146 is 63510.

GCF of Denominators means GCF of 182,938,289 as per the given fractions.

GCF of 182,938,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,29,146

LCM of Fractions 30/182,29/938,146/289 is 63510

2 30, 29, 146
15, 29, 73

∴ So the LCM of the given numbers is 2 x 15 x 29 x 73 = 63510

Least Common Multiple of 30,29,146 with GCF Formula

Least Common Multiple of 30,29,146 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 30,29,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,29,146) = 1

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

GCF(30,29,146) x common factors =1 x 2 = 2

LCM(30,29,146) = ( 30 × 29 × 146 ) / 2

LCM(30,29,146) = 127020 / 2

LCM(30,29,146) = 63510


Lets's calculate GCF of 182,938,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63510/1

Therefore the LCM of Fractions 30/182,29/938,146/289 is 63510

Greatest Common Factor of 182,938,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,938,289 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 182,938,289 . The biggest common factor number is the GCF number.
So the greatest common factor 182,938,289 is 1.


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 30/182, 29/938, 146/289

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 30/182, 29/938, 146/289?

Answer: LCM of Numerators as per given numbers 30/182, 29/938, 146/289 is

LCM of Numerators i.e. for 30,29,146 is 63510

GCF of denominators i.e. for 182,938,289 is 1.

Thus, LCM of Fractions is 63510.Finally, LCM of Fractions for 30/182, 29/938, 146/289 is 63510.