Least Common Multiple of 458/38, 505/67, 692/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/38, 505/67, 692/96 quickly i.e. 80026340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/38, 505/67, 692/96 is 80026340.

LCM(458/38, 505/67, 692/96) = 80026340

LCM of 458/38, 505/67, 692/96

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 458/38,505/67,692/96

Given numbers are 458/38,505/67,692/96

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 458,505,692

Least Common Multiple of Numerators i.e. LCM of 458,505,692 is 80026340.

GCF of Denominators means GCF of 38,67,96 as per the given fractions.

GCF of 38,67,96 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,505,692

LCM of Fractions 458/38,505/67,692/96 is 80026340

2 458, 505, 692
229, 505, 346

∴ So the LCM of the given numbers is 2 x 229 x 505 x 346 = 80026340

Least Common Multiple of 458,505,692 with GCF Formula

Least Common Multiple of 458,505,692 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 458,505,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,505,692) = 1

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

GCF(458,505,692) x common factors =1 x 2 = 2

LCM(458,505,692) = ( 458 × 505 × 692 ) / 2

LCM(458,505,692) = 160052680 / 2

LCM(458,505,692) = 80026340


Lets's calculate GCF of 38,67,96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80026340/1

Therefore the LCM of Fractions 458/38,505/67,692/96 is 80026340

Greatest Common Factor of 38,67,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,67,96 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

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

Greatest Common Factor

We found the factors 38,67,96 . The biggest common factor number is the GCF number.
So the greatest common factor 38,67,96 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 458/38, 505/67, 692/96

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 458/38, 505/67, 692/96?

Answer: LCM of Numerators as per given numbers 458/38, 505/67, 692/96 is

LCM of Numerators i.e. for 458,505,692 is 80026340

GCF of denominators i.e. for 38,67,96 is 1.

Thus, LCM of Fractions is 80026340.Finally, LCM of Fractions for 458/38, 505/67, 692/96 is 80026340.