Least Common Multiple of 768/94, 685/77, 275/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/94, 685/77, 275/89 quickly i.e. 28934400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/94, 685/77, 275/89 is 28934400.

LCM(768/94, 685/77, 275/89) = 28934400

LCM of 768/94, 685/77, 275/89

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 768/94,685/77,275/89

Given numbers are 768/94,685/77,275/89

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 768,685,275

Least Common Multiple of Numerators i.e. LCM of 768,685,275 is 28934400.

GCF of Denominators means GCF of 94,77,89 as per the given fractions.

GCF of 94,77,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,685,275

LCM of Fractions 768/94,685/77,275/89 is 28934400

5 768, 685, 275
768, 137, 55

∴ So the LCM of the given numbers is 5 x 768 x 137 x 55 = 28934400

Least Common Multiple of 768,685,275 with GCF Formula

Least Common Multiple of 768,685,275 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 768,685,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,685,275) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(768,685,275) x common factors =1 x 5 = 5

LCM(768,685,275) = ( 768 × 685 × 275 ) / 5

LCM(768,685,275) = 144672000 / 5

LCM(768,685,275) = 28934400


Lets's calculate GCF of 94,77,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28934400/1

Therefore the LCM of Fractions 768/94,685/77,275/89 is 28934400

Greatest Common Factor of 94,77,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,77,89 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 77

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

1,7,11,77

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 94,77,89 . The biggest common factor number is the GCF number.
So the greatest common factor 94,77,89 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 768/94, 685/77, 275/89

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 768/94, 685/77, 275/89?

Answer: LCM of Numerators as per given numbers 768/94, 685/77, 275/89 is

LCM of Numerators i.e. for 768,685,275 is 28934400

GCF of denominators i.e. for 94,77,89 is 1.

Thus, LCM of Fractions is 28934400.Finally, LCM of Fractions for 768/94, 685/77, 275/89 is 28934400.