Least Common Multiple of 442/214, 8176/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 442/214, 8176/141 quickly i.e. 1806896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 442/214, 8176/141 is 1806896.

LCM(442/214, 8176/141) = 1806896

LCM of 442/214, 8176/141

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 442/214,8176/141

Given numbers are 442/214,8176/141

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 442,8176

Least Common Multiple of Numerators i.e. LCM of 442,8176 is 1806896.

GCF of Denominators means GCF of 214,141 as per the given fractions.

GCF of 214,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 442,8176

LCM of Fractions 442/214,8176/141 is 1806896

2 442, 8176
221, 4088

∴ So the LCM of the given numbers is 2 x 221 x 4088 = 1806896

Least Common Multiple of 442,8176 with GCF Formula

Least Common Multiple of 442,8176 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 442,8176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,8176) = 2

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

GCF(442,8176) x common factors =2 x 1 = 2

LCM(442,8176) = ( 442 × 8176 ) / 2

LCM(442,8176) = 3613792 / 2

LCM(442,8176) = 1806896


Lets's calculate GCF of 214,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1806896/1

Therefore the LCM of Fractions 442/214,8176/141 is 1806896

Greatest Common Factor of 214,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,141 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 214,141 . The biggest common factor number is the GCF number.
So the greatest common factor 214,141 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 442/214, 8176/141

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 442/214, 8176/141?

Answer: LCM of Numerators as per given numbers 442/214, 8176/141 is

LCM of Numerators i.e. for 442,8176 is 1806896

GCF of denominators i.e. for 214,141 is 1.

Thus, LCM of Fractions is 1806896.Finally, LCM of Fractions for 442/214, 8176/141 is 1806896.