Least Common Multiple of 13/96, 10/78, 89/45, 43/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/96, 10/78, 89/45, 43/975 quickly i.e. 497510/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/96, 10/78, 89/45, 43/975 is 497510/3.

LCM(13/96, 10/78, 89/45, 43/975) = 497510/3

LCM of 13/96, 10/78, 89/45, 43/975

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 13/96,10/78,89/45,43/975

Given numbers are 13/96,10/78,89/45,43/975

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 13,10,89,43

Least Common Multiple of Numerators i.e. LCM of 13,10,89,43 is 497510.

GCF of Denominators means GCF of 96,78,45,975 as per the given fractions.

GCF of 96,78,45,975 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,10,89,43

LCM of Fractions 13/96,10/78,89/45,43/975 is 497510/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 497510

Least Common Multiple of 13,10,89,43 with GCF Formula

Least Common Multiple of 13,10,89,43 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 13,10,89,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,10,89,43) = 1

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

GCF(13,10,89,43) x common factors =1 x 1 = 1

LCM(13,10,89,43) = ( 13 × 10 × 89 × 43 ) / 1

LCM(13,10,89,43) = 497510 / 1

LCM(13,10,89,43) = 497510


Lets's calculate GCF of 96,78,45,975

3 96, 78, 45, 975
32, 26, 15, 325

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 497510/3

Therefore the LCM of Fractions 13/96,10/78,89/45,43/975 is 497510/3

Greatest Common Factor of 96,78,45,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,78,45,975 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 96,78,45,975 . The biggest common factor number is the GCF number.
So the greatest common factor 96,78,45,975 is 3.


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 13/96, 10/78, 89/45, 43/975

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 13/96, 10/78, 89/45, 43/975?

Answer: LCM of Numerators as per given numbers 13/96, 10/78, 89/45, 43/975 is

LCM of Numerators i.e. for 13,10,89,43 is 497510

GCF of denominators i.e. for 96,78,45,975 is 3.

Thus, LCM of Fractions is 497510/3.Finally, LCM of Fractions for 13/96, 10/78, 89/45, 43/975 is 497510/3.