Least Common Multiple of 366/88, 571/78, 689/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 366/88, 571/78, 689/96 quickly i.e. 71995677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 366/88, 571/78, 689/96 is 71995677.

LCM(366/88, 571/78, 689/96) = 71995677

LCM of 366/88, 571/78, 689/96

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 366/88,571/78,689/96

Given numbers are 366/88,571/78,689/96

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 366,571,689

Least Common Multiple of Numerators i.e. LCM of 366,571,689 is 143991354.

GCF of Denominators means GCF of 88,78,96 as per the given fractions.

GCF of 88,78,96 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 366,571,689

LCM of Fractions 366/88,571/78,689/96 is 71995677

Given numbers has no common factors except 1. So, there LCM is their product i.e 143991354

Least Common Multiple of 366,571,689 with GCF Formula

Least Common Multiple of 366,571,689 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 366,571,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,571,689) = 1

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

GCF(366,571,689) x common factors =1 x 1 = 1

LCM(366,571,689) = ( 366 × 571 × 689 ) / 1

LCM(366,571,689) = 143991354 / 1

LCM(366,571,689) = 143991354


Lets's calculate GCF of 88,78,96

2 88, 78, 96
44, 39, 48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143991354/2

Therefore the LCM of Fractions 366/88,571/78,689/96 is 71995677

Greatest Common Factor of 88,78,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,78,96 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 78

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

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

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

Greatest Common Factor

We found the factors 88,78,96 . The biggest common factor number is the GCF number.
So the greatest common factor 88,78,96 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 366/88, 571/78, 689/96

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 366/88, 571/78, 689/96?

Answer: LCM of Numerators as per given numbers 366/88, 571/78, 689/96 is

LCM of Numerators i.e. for 366,571,689 is 143991354

GCF of denominators i.e. for 88,78,96 is 2.

Thus, LCM of Fractions is 71995677.Finally, LCM of Fractions for 366/88, 571/78, 689/96 is 71995677.