Least Common Multiple of 144/91, 832/69, 516/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 144/91, 832/69, 516/214 quickly i.e. 321984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/91, 832/69, 516/214 is 321984.

LCM(144/91, 832/69, 516/214) = 321984

LCM of 144/91, 832/69, 516/214

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 144/91,832/69,516/214

Given numbers are 144/91,832/69,516/214

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 144,832,516

Least Common Multiple of Numerators i.e. LCM of 144,832,516 is 321984.

GCF of Denominators means GCF of 91,69,214 as per the given fractions.

GCF of 91,69,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,832,516

LCM of Fractions 144/91,832/69,516/214 is 321984

2 144, 832, 516
2 72, 416, 258
2 36, 208, 129
2 18, 104, 129
3 9, 52, 129
3, 52, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 52 x 43 = 321984

Least Common Multiple of 144,832,516 with GCF Formula

Least Common Multiple of 144,832,516 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 144,832,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,832,516) = 4

common factors(in case of two or more numbers have common factors) = 48

GCF(144,832,516) x common factors =4 x 48 = 192

LCM(144,832,516) = ( 144 × 832 × 516 ) / 192

LCM(144,832,516) = 61820928 / 192

LCM(144,832,516) = 321984


Lets's calculate GCF of 91,69,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321984/1

Therefore the LCM of Fractions 144/91,832/69,516/214 is 321984

Greatest Common Factor of 91,69,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,69,214 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 214

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

1,2,107,214

Greatest Common Factor

We found the factors 91,69,214 . The biggest common factor number is the GCF number.
So the greatest common factor 91,69,214 is 1.


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Frequently Asked Questions on Fractional LCM of 144/91, 832/69, 516/214

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 144/91, 832/69, 516/214?

Answer: LCM of Numerators as per given numbers 144/91, 832/69, 516/214 is

LCM of Numerators i.e. for 144,832,516 is 321984

GCF of denominators i.e. for 91,69,214 is 1.

Thus, LCM of Fractions is 321984.Finally, LCM of Fractions for 144/91, 832/69, 516/214 is 321984.