Least Common Multiple of 94/26, 96/97, 16/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/26, 96/97, 16/742 quickly i.e. 4512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/26, 96/97, 16/742 is 4512.

LCM(94/26, 96/97, 16/742) = 4512

LCM of 94/26, 96/97, 16/742

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 94/26,96/97,16/742

Given numbers are 94/26,96/97,16/742

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 94,96,16

Least Common Multiple of Numerators i.e. LCM of 94,96,16 is 4512.

GCF of Denominators means GCF of 26,97,742 as per the given fractions.

GCF of 26,97,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,96,16

LCM of Fractions 94/26,96/97,16/742 is 4512

2 94, 96, 16
2 47, 48, 8
2 47, 24, 4
2 47, 12, 2
47, 6, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 47 x 6 x 1 = 4512

Least Common Multiple of 94,96,16 with GCF Formula

Least Common Multiple of 94,96,16 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 94,96,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,96,16) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(94,96,16) x common factors =2 x 16 = 32

LCM(94,96,16) = ( 94 × 96 × 16 ) / 32

LCM(94,96,16) = 144384 / 32

LCM(94,96,16) = 4512


Lets's calculate GCF of 26,97,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4512/1

Therefore the LCM of Fractions 94/26,96/97,16/742 is 4512

Greatest Common Factor of 26,97,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,97,742 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 26,97,742 . The biggest common factor number is the GCF number.
So the greatest common factor 26,97,742 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/26, 96/97, 16/742

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 94/26, 96/97, 16/742?

Answer: LCM of Numerators as per given numbers 94/26, 96/97, 16/742 is

LCM of Numerators i.e. for 94,96,16 is 4512

GCF of denominators i.e. for 26,97,742 is 1.

Thus, LCM of Fractions is 4512.Finally, LCM of Fractions for 94/26, 96/97, 16/742 is 4512.