Least Common Multiple of 60/197, 64/301, 474/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/197, 64/301, 474/886 quickly i.e. 75840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/197, 64/301, 474/886 is 75840.

LCM(60/197, 64/301, 474/886) = 75840

LCM of 60/197, 64/301, 474/886

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 60/197,64/301,474/886

Given numbers are 60/197,64/301,474/886

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 60,64,474

Least Common Multiple of Numerators i.e. LCM of 60,64,474 is 75840.

GCF of Denominators means GCF of 197,301,886 as per the given fractions.

GCF of 197,301,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,64,474

LCM of Fractions 60/197,64/301,474/886 is 75840

2 60, 64, 474
2 30, 32, 237
3 15, 16, 237
5, 16, 79

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 16 x 79 = 75840

Least Common Multiple of 60,64,474 with GCF Formula

Least Common Multiple of 60,64,474 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 60,64,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,64,474) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(60,64,474) x common factors =2 x 12 = 24

LCM(60,64,474) = ( 60 × 64 × 474 ) / 24

LCM(60,64,474) = 1820160 / 24

LCM(60,64,474) = 75840


Lets's calculate GCF of 197,301,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75840/1

Therefore the LCM of Fractions 60/197,64/301,474/886 is 75840

Greatest Common Factor of 197,301,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,301,886 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 197,301,886 . The biggest common factor number is the GCF number.
So the greatest common factor 197,301,886 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 60/197, 64/301, 474/886

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 60/197, 64/301, 474/886?

Answer: LCM of Numerators as per given numbers 60/197, 64/301, 474/886 is

LCM of Numerators i.e. for 60,64,474 is 75840

GCF of denominators i.e. for 197,301,886 is 1.

Thus, LCM of Fractions is 75840.Finally, LCM of Fractions for 60/197, 64/301, 474/886 is 75840.