Least Common Multiple of 96/23, 55/24, 914/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/23, 55/24, 914/970 quickly i.e. 2412960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/23, 55/24, 914/970 is 2412960.

LCM(96/23, 55/24, 914/970) = 2412960

LCM of 96/23, 55/24, 914/970

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 96/23,55/24,914/970

Given numbers are 96/23,55/24,914/970

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 96,55,914

Least Common Multiple of Numerators i.e. LCM of 96,55,914 is 2412960.

GCF of Denominators means GCF of 23,24,970 as per the given fractions.

GCF of 23,24,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,55,914

LCM of Fractions 96/23,55/24,914/970 is 2412960

2 96, 55, 914
48, 55, 457

∴ So the LCM of the given numbers is 2 x 48 x 55 x 457 = 2412960

Least Common Multiple of 96,55,914 with GCF Formula

Least Common Multiple of 96,55,914 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 96,55,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,55,914) = 1

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

GCF(96,55,914) x common factors =1 x 2 = 2

LCM(96,55,914) = ( 96 × 55 × 914 ) / 2

LCM(96,55,914) = 4825920 / 2

LCM(96,55,914) = 2412960


Lets's calculate GCF of 23,24,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2412960/1

Therefore the LCM of Fractions 96/23,55/24,914/970 is 2412960

Greatest Common Factor of 23,24,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,24,970 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 23,24,970 . The biggest common factor number is the GCF number.
So the greatest common factor 23,24,970 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 96/23, 55/24, 914/970

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 96/23, 55/24, 914/970?

Answer: LCM of Numerators as per given numbers 96/23, 55/24, 914/970 is

LCM of Numerators i.e. for 96,55,914 is 2412960

GCF of denominators i.e. for 23,24,970 is 1.

Thus, LCM of Fractions is 2412960.Finally, LCM of Fractions for 96/23, 55/24, 914/970 is 2412960.