Least Common Multiple of 854/96, 534/8662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/96, 534/8662 quickly i.e. 114009 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/96, 534/8662 is 114009.

LCM(854/96, 534/8662) = 114009

LCM of 854/96, 534/8662

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 854/96,534/8662

Given numbers are 854/96,534/8662

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 854,534

Least Common Multiple of Numerators i.e. LCM of 854,534 is 228018.

GCF of Denominators means GCF of 96,8662 as per the given fractions.

GCF of 96,8662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,534

LCM of Fractions 854/96,534/8662 is 114009

2 854, 534
427, 267

∴ So the LCM of the given numbers is 2 x 427 x 267 = 228018

Least Common Multiple of 854,534 with GCF Formula

Least Common Multiple of 854,534 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 854,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,534) = 2

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

GCF(854,534) x common factors =2 x 1 = 2

LCM(854,534) = ( 854 × 534 ) / 2

LCM(854,534) = 456036 / 2

LCM(854,534) = 228018


Lets's calculate GCF of 96,8662

2 96, 8662
48, 4331

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228018/2

Therefore the LCM of Fractions 854/96,534/8662 is 114009

Greatest Common Factor of 96,8662 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,8662 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 8662

List of positive integer factors of 8662 that divides 8662 without a remainder.

1,2,61,71,122,142,4331,8662

Greatest Common Factor

We found the factors 96,8662 . The biggest common factor number is the GCF number.
So the greatest common factor 96,8662 is 2.


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 854/96, 534/8662

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 854/96, 534/8662?

Answer: LCM of Numerators as per given numbers 854/96, 534/8662 is

LCM of Numerators i.e. for 854,534 is 228018

GCF of denominators i.e. for 96,8662 is 2.

Thus, LCM of Fractions is 114009.Finally, LCM of Fractions for 854/96, 534/8662 is 114009.