Least Common Multiple of 92/88, 75/46, 766/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/88, 75/46, 766/144 quickly i.e. 1321350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/88, 75/46, 766/144 is 1321350.

LCM(92/88, 75/46, 766/144) = 1321350

LCM of 92/88, 75/46, 766/144

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 92/88,75/46,766/144

Given numbers are 92/88,75/46,766/144

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 92,75,766

Least Common Multiple of Numerators i.e. LCM of 92,75,766 is 2642700.

GCF of Denominators means GCF of 88,46,144 as per the given fractions.

GCF of 88,46,144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,75,766

LCM of Fractions 92/88,75/46,766/144 is 1321350

2 92, 75, 766
46, 75, 383

∴ So the LCM of the given numbers is 2 x 46 x 75 x 383 = 2642700

Least Common Multiple of 92,75,766 with GCF Formula

Least Common Multiple of 92,75,766 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 92,75,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,75,766) = 1

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

GCF(92,75,766) x common factors =1 x 2 = 2

LCM(92,75,766) = ( 92 × 75 × 766 ) / 2

LCM(92,75,766) = 5285400 / 2

LCM(92,75,766) = 2642700


Lets's calculate GCF of 88,46,144

2 88, 46, 144
44, 23, 72

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2642700/2

Therefore the LCM of Fractions 92/88,75/46,766/144 is 1321350

Greatest Common Factor of 88,46,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,46,144 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 88,46,144 . The biggest common factor number is the GCF number.
So the greatest common factor 88,46,144 is 2.


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 92/88, 75/46, 766/144

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 92/88, 75/46, 766/144?

Answer: LCM of Numerators as per given numbers 92/88, 75/46, 766/144 is

LCM of Numerators i.e. for 92,75,766 is 2642700

GCF of denominators i.e. for 88,46,144 is 2.

Thus, LCM of Fractions is 1321350.Finally, LCM of Fractions for 92/88, 75/46, 766/144 is 1321350.