Least Common Multiple of 96/77, 19/87, 48/83, 75/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/77, 19/87, 48/83, 75/889 quickly i.e. 45600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/77, 19/87, 48/83, 75/889 is 45600.

LCM(96/77, 19/87, 48/83, 75/889) = 45600

LCM of 96/77, 19/87, 48/83, 75/889

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 96/77,19/87,48/83,75/889

Given numbers are 96/77,19/87,48/83,75/889

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 96,19,48,75

Least Common Multiple of Numerators i.e. LCM of 96,19,48,75 is 45600.

GCF of Denominators means GCF of 77,87,83,889 as per the given fractions.

GCF of 77,87,83,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,19,48,75

LCM of Fractions 96/77,19/87,48/83,75/889 is 45600

2 96, 19, 48, 75
2 48, 19, 24, 75
2 12, 19, 24, 75
2 6, 19, 12, 75
3 3, 19, 6, 75
1, 19, 2, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 19 x 2 x 25 = 45600

Least Common Multiple of 96,19,48,75 with GCF Formula

Least Common Multiple of 96,19,48,75 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 96,19,48,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,19,48,75) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(96,19,48,75) x common factors =1 x 144 = 144

LCM(96,19,48,75) = ( 96 × 19 × 48 × 75 ) / 144

LCM(96,19,48,75) = 6566400 / 144

LCM(96,19,48,75) = 45600


Lets's calculate GCF of 77,87,83,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45600/1

Therefore the LCM of Fractions 96/77,19/87,48/83,75/889 is 45600

Greatest Common Factor of 77,87,83,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,87,83,889 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 77,87,83,889 . The biggest common factor number is the GCF number.
So the greatest common factor 77,87,83,889 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 96/77, 19/87, 48/83, 75/889

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 96/77, 19/87, 48/83, 75/889?

Answer: LCM of Numerators as per given numbers 96/77, 19/87, 48/83, 75/889 is

LCM of Numerators i.e. for 96,19,48,75 is 45600

GCF of denominators i.e. for 77,87,83,889 is 1.

Thus, LCM of Fractions is 45600.Finally, LCM of Fractions for 96/77, 19/87, 48/83, 75/889 is 45600.