Least Common Multiple of 363/197, 6468/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 363/197, 6468/411 quickly i.e. 71148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/197, 6468/411 is 71148.

LCM(363/197, 6468/411) = 71148

LCM of 363/197, 6468/411

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 363/197,6468/411

Given numbers are 363/197,6468/411

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 363,6468

Least Common Multiple of Numerators i.e. LCM of 363,6468 is 71148.

GCF of Denominators means GCF of 197,411 as per the given fractions.

GCF of 197,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,6468

LCM of Fractions 363/197,6468/411 is 71148

3 363, 6468
11 121, 2156
11, 196

∴ So the LCM of the given numbers is 3 x 11 x 11 x 196 = 71148

Least Common Multiple of 363,6468 with GCF Formula

Least Common Multiple of 363,6468 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 363,6468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,6468) = 33

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

GCF(363,6468) x common factors =33 x 1 = 33

LCM(363,6468) = ( 363 × 6468 ) / 33

LCM(363,6468) = 2347884 / 33

LCM(363,6468) = 71148


Lets's calculate GCF of 197,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71148/1

Therefore the LCM of Fractions 363/197,6468/411 is 71148

Greatest Common Factor of 197,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,411 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 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 197,411 . The biggest common factor number is the GCF number.
So the greatest common factor 197,411 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 363/197, 6468/411

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 363/197, 6468/411?

Answer: LCM of Numerators as per given numbers 363/197, 6468/411 is

LCM of Numerators i.e. for 363,6468 is 71148

GCF of denominators i.e. for 197,411 is 1.

Thus, LCM of Fractions is 71148.Finally, LCM of Fractions for 363/197, 6468/411 is 71148.