Least Common Multiple of 146/29, 664/4181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 146/29, 664/4181 quickly i.e. 48472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/29, 664/4181 is 48472.

LCM(146/29, 664/4181) = 48472

LCM of 146/29, 664/4181

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 146/29,664/4181

Given numbers are 146/29,664/4181

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 146,664

Least Common Multiple of Numerators i.e. LCM of 146,664 is 48472.

GCF of Denominators means GCF of 29,4181 as per the given fractions.

GCF of 29,4181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,664

LCM of Fractions 146/29,664/4181 is 48472

2 146, 664
73, 332

∴ So the LCM of the given numbers is 2 x 73 x 332 = 48472

Least Common Multiple of 146,664 with GCF Formula

Least Common Multiple of 146,664 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 146,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,664) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(146,664) x common factors =2 x 1 = 2

LCM(146,664) = ( 146 × 664 ) / 2

LCM(146,664) = 96944 / 2

LCM(146,664) = 48472


Lets's calculate GCF of 29,4181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48472/1

Therefore the LCM of Fractions 146/29,664/4181 is 48472

Greatest Common Factor of 29,4181 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,4181 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 4181

List of positive integer factors of 4181 that divides 4181 without a remainder.

1,37,113,4181

Greatest Common Factor

We found the factors 29,4181 . The biggest common factor number is the GCF number.
So the greatest common factor 29,4181 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 146/29, 664/4181

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 146/29, 664/4181?

Answer: LCM of Numerators as per given numbers 146/29, 664/4181 is

LCM of Numerators i.e. for 146,664 is 48472

GCF of denominators i.e. for 29,4181 is 1.

Thus, LCM of Fractions is 48472.Finally, LCM of Fractions for 146/29, 664/4181 is 48472.