Least Common Multiple of 360/97, 354/40, 890/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/97, 354/40, 890/996 quickly i.e. 1890360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/97, 354/40, 890/996 is 1890360.

LCM(360/97, 354/40, 890/996) = 1890360

LCM of 360/97, 354/40, 890/996

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 360/97,354/40,890/996

Given numbers are 360/97,354/40,890/996

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 360,354,890

Least Common Multiple of Numerators i.e. LCM of 360,354,890 is 1890360.

GCF of Denominators means GCF of 97,40,996 as per the given fractions.

GCF of 97,40,996 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,354,890

LCM of Fractions 360/97,354/40,890/996 is 1890360

2 360, 354, 890
3 180, 177, 445
5 60, 59, 445
12, 59, 89

∴ So the LCM of the given numbers is 2 x 3 x 5 x 12 x 59 x 89 = 1890360

Least Common Multiple of 360,354,890 with GCF Formula

Least Common Multiple of 360,354,890 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 360,354,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,354,890) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(360,354,890) x common factors =2 x 30 = 60

LCM(360,354,890) = ( 360 × 354 × 890 ) / 60

LCM(360,354,890) = 113421600 / 60

LCM(360,354,890) = 1890360


Lets's calculate GCF of 97,40,996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1890360/1

Therefore the LCM of Fractions 360/97,354/40,890/996 is 1890360

Greatest Common Factor of 97,40,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,40,996 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 97,40,996 . The biggest common factor number is the GCF number.
So the greatest common factor 97,40,996 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 360/97, 354/40, 890/996

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 360/97, 354/40, 890/996?

Answer: LCM of Numerators as per given numbers 360/97, 354/40, 890/996 is

LCM of Numerators i.e. for 360,354,890 is 1890360

GCF of denominators i.e. for 97,40,996 is 1.

Thus, LCM of Fractions is 1890360.Finally, LCM of Fractions for 360/97, 354/40, 890/996 is 1890360.