Least Common Multiple of 83/960, 816/455, 424/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/960, 816/455, 424/952 quickly i.e. 3589584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/960, 816/455, 424/952 is 3589584.

LCM(83/960, 816/455, 424/952) = 3589584

LCM of 83/960, 816/455, 424/952

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 83/960,816/455,424/952

Given numbers are 83/960,816/455,424/952

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 83,816,424

Least Common Multiple of Numerators i.e. LCM of 83,816,424 is 3589584.

GCF of Denominators means GCF of 960,455,952 as per the given fractions.

GCF of 960,455,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,816,424

LCM of Fractions 83/960,816/455,424/952 is 3589584

2 83, 816, 424
2 83, 408, 212
2 83, 204, 106
83, 102, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 102 x 53 = 3589584

Least Common Multiple of 83,816,424 with GCF Formula

Least Common Multiple of 83,816,424 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 83,816,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,816,424) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(83,816,424) x common factors =1 x 8 = 8

LCM(83,816,424) = ( 83 × 816 × 424 ) / 8

LCM(83,816,424) = 28716672 / 8

LCM(83,816,424) = 3589584


Lets's calculate GCF of 960,455,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3589584/1

Therefore the LCM of Fractions 83/960,816/455,424/952 is 3589584

Greatest Common Factor of 960,455,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,455,952 By Matching Biggest Common Factor Method

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

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 960,455,952 . The biggest common factor number is the GCF number.
So the greatest common factor 960,455,952 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 83/960, 816/455, 424/952

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 83/960, 816/455, 424/952?

Answer: LCM of Numerators as per given numbers 83/960, 816/455, 424/952 is

LCM of Numerators i.e. for 83,816,424 is 3589584

GCF of denominators i.e. for 960,455,952 is 1.

Thus, LCM of Fractions is 3589584.Finally, LCM of Fractions for 83/960, 816/455, 424/952 is 3589584.