Least Common Multiple of 66/371, 97/398, 978/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/371, 97/398, 978/585 quickly i.e. 1043526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/371, 97/398, 978/585 is 1043526.

LCM(66/371, 97/398, 978/585) = 1043526

LCM of 66/371, 97/398, 978/585

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 66/371,97/398,978/585

Given numbers are 66/371,97/398,978/585

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 66,97,978

Least Common Multiple of Numerators i.e. LCM of 66,97,978 is 1043526.

GCF of Denominators means GCF of 371,398,585 as per the given fractions.

GCF of 371,398,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,97,978

LCM of Fractions 66/371,97/398,978/585 is 1043526

2 66, 97, 978
3 33, 97, 489
11, 97, 163

∴ So the LCM of the given numbers is 2 x 3 x 11 x 97 x 163 = 1043526

Least Common Multiple of 66,97,978 with GCF Formula

Least Common Multiple of 66,97,978 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 66,97,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,97,978) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,97,978) x common factors =1 x 6 = 6

LCM(66,97,978) = ( 66 × 97 × 978 ) / 6

LCM(66,97,978) = 6261156 / 6

LCM(66,97,978) = 1043526


Lets's calculate GCF of 371,398,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1043526/1

Therefore the LCM of Fractions 66/371,97/398,978/585 is 1043526

Greatest Common Factor of 371,398,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,398,585 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 371,398,585 . The biggest common factor number is the GCF number.
So the greatest common factor 371,398,585 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 66/371, 97/398, 978/585

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 66/371, 97/398, 978/585?

Answer: LCM of Numerators as per given numbers 66/371, 97/398, 978/585 is

LCM of Numerators i.e. for 66,97,978 is 1043526

GCF of denominators i.e. for 371,398,585 is 1.

Thus, LCM of Fractions is 1043526.Finally, LCM of Fractions for 66/371, 97/398, 978/585 is 1043526.