Least Common Multiple of 53/71, 284/49, 214/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/71, 284/49, 214/960 quickly i.e. 1610564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/71, 284/49, 214/960 is 1610564.

LCM(53/71, 284/49, 214/960) = 1610564

LCM of 53/71, 284/49, 214/960

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 53/71,284/49,214/960

Given numbers are 53/71,284/49,214/960

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 53,284,214

Least Common Multiple of Numerators i.e. LCM of 53,284,214 is 1610564.

GCF of Denominators means GCF of 71,49,960 as per the given fractions.

GCF of 71,49,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,284,214

LCM of Fractions 53/71,284/49,214/960 is 1610564

2 53, 284, 214
53, 142, 107

∴ So the LCM of the given numbers is 2 x 53 x 142 x 107 = 1610564

Least Common Multiple of 53,284,214 with GCF Formula

Least Common Multiple of 53,284,214 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 53,284,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,284,214) = 1

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

GCF(53,284,214) x common factors =1 x 2 = 2

LCM(53,284,214) = ( 53 × 284 × 214 ) / 2

LCM(53,284,214) = 3221128 / 2

LCM(53,284,214) = 1610564


Lets's calculate GCF of 71,49,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1610564/1

Therefore the LCM of Fractions 53/71,284/49,214/960 is 1610564

Greatest Common Factor of 71,49,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,49,960 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 71,49,960 . The biggest common factor number is the GCF number.
So the greatest common factor 71,49,960 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 53/71, 284/49, 214/960

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 53/71, 284/49, 214/960?

Answer: LCM of Numerators as per given numbers 53/71, 284/49, 214/960 is

LCM of Numerators i.e. for 53,284,214 is 1610564

GCF of denominators i.e. for 71,49,960 is 1.

Thus, LCM of Fractions is 1610564.Finally, LCM of Fractions for 53/71, 284/49, 214/960 is 1610564.