Least Common Multiple of 89/60, 40/55, 397/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/60, 40/55, 397/684 quickly i.e. 1413320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/60, 40/55, 397/684 is 1413320.

LCM(89/60, 40/55, 397/684) = 1413320

LCM of 89/60, 40/55, 397/684

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 89/60,40/55,397/684

Given numbers are 89/60,40/55,397/684

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 89,40,397

Least Common Multiple of Numerators i.e. LCM of 89,40,397 is 1413320.

GCF of Denominators means GCF of 60,55,684 as per the given fractions.

GCF of 60,55,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,40,397

LCM of Fractions 89/60,40/55,397/684 is 1413320

Given numbers has no common factors except 1. So, there LCM is their product i.e 1413320

Least Common Multiple of 89,40,397 with GCF Formula

Least Common Multiple of 89,40,397 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 89,40,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,40,397) = 1

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

GCF(89,40,397) x common factors =1 x 1 = 1

LCM(89,40,397) = ( 89 × 40 × 397 ) / 1

LCM(89,40,397) = 1413320 / 1

LCM(89,40,397) = 1413320


Lets's calculate GCF of 60,55,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1413320/1

Therefore the LCM of Fractions 89/60,40/55,397/684 is 1413320

Greatest Common Factor of 60,55,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,55,684 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 60,55,684 . The biggest common factor number is the GCF number.
So the greatest common factor 60,55,684 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 89/60, 40/55, 397/684

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 89/60, 40/55, 397/684?

Answer: LCM of Numerators as per given numbers 89/60, 40/55, 397/684 is

LCM of Numerators i.e. for 89,40,397 is 1413320

GCF of denominators i.e. for 60,55,684 is 1.

Thus, LCM of Fractions is 1413320.Finally, LCM of Fractions for 89/60, 40/55, 397/684 is 1413320.