Least Common Multiple of 134/32, 377/29, 214/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 134/32, 377/29, 214/66 quickly i.e. 5405426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 134/32, 377/29, 214/66 is 5405426.

LCM(134/32, 377/29, 214/66) = 5405426

LCM of 134/32, 377/29, 214/66

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 134/32,377/29,214/66

Given numbers are 134/32,377/29,214/66

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 134,377,214

Least Common Multiple of Numerators i.e. LCM of 134,377,214 is 5405426.

GCF of Denominators means GCF of 32,29,66 as per the given fractions.

GCF of 32,29,66 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 134,377,214

LCM of Fractions 134/32,377/29,214/66 is 5405426

2 134, 377, 214
67, 377, 107

∴ So the LCM of the given numbers is 2 x 67 x 377 x 107 = 5405426

Least Common Multiple of 134,377,214 with GCF Formula

Least Common Multiple of 134,377,214 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 134,377,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,377,214) = 1

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

GCF(134,377,214) x common factors =1 x 2 = 2

LCM(134,377,214) = ( 134 × 377 × 214 ) / 2

LCM(134,377,214) = 10810852 / 2

LCM(134,377,214) = 5405426


Lets's calculate GCF of 32,29,66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5405426/1

Therefore the LCM of Fractions 134/32,377/29,214/66 is 5405426

Greatest Common Factor of 32,29,66 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,29,66 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 29

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

1,29

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Greatest Common Factor

We found the factors 32,29,66 . The biggest common factor number is the GCF number.
So the greatest common factor 32,29,66 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 134/32, 377/29, 214/66

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 134/32, 377/29, 214/66?

Answer: LCM of Numerators as per given numbers 134/32, 377/29, 214/66 is

LCM of Numerators i.e. for 134,377,214 is 5405426

GCF of denominators i.e. for 32,29,66 is 1.

Thus, LCM of Fractions is 5405426.Finally, LCM of Fractions for 134/32, 377/29, 214/66 is 5405426.