Least Common Multiple of 88/34, 67/33, 82/28, 74/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/34, 67/33, 82/28, 74/292 quickly i.e. 8944232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/34, 67/33, 82/28, 74/292 is 8944232.

LCM(88/34, 67/33, 82/28, 74/292) = 8944232

LCM of 88/34, 67/33, 82/28, 74/292

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 88/34,67/33,82/28,74/292

Given numbers are 88/34,67/33,82/28,74/292

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 88,67,82,74

Least Common Multiple of Numerators i.e. LCM of 88,67,82,74 is 8944232.

GCF of Denominators means GCF of 34,33,28,292 as per the given fractions.

GCF of 34,33,28,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,67,82,74

LCM of Fractions 88/34,67/33,82/28,74/292 is 8944232

2 88, 67, 82, 74
44, 67, 41, 37

∴ So the LCM of the given numbers is 2 x 44 x 67 x 41 x 37 = 8944232

Least Common Multiple of 88,67,82,74 with GCF Formula

Least Common Multiple of 88,67,82,74 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 88,67,82,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,67,82,74) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,67,82,74) x common factors =1 x 4 = 4

LCM(88,67,82,74) = ( 88 × 67 × 82 × 74 ) / 4

LCM(88,67,82,74) = 35776928 / 4

LCM(88,67,82,74) = 8944232


Lets's calculate GCF of 34,33,28,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8944232/1

Therefore the LCM of Fractions 88/34,67/33,82/28,74/292 is 8944232

Greatest Common Factor of 34,33,28,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,33,28,292 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 34,33,28,292 . The biggest common factor number is the GCF number.
So the greatest common factor 34,33,28,292 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 88/34, 67/33, 82/28, 74/292

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 88/34, 67/33, 82/28, 74/292?

Answer: LCM of Numerators as per given numbers 88/34, 67/33, 82/28, 74/292 is

LCM of Numerators i.e. for 88,67,82,74 is 8944232

GCF of denominators i.e. for 34,33,28,292 is 1.

Thus, LCM of Fractions is 8944232.Finally, LCM of Fractions for 88/34, 67/33, 82/28, 74/292 is 8944232.