Least Common Multiple of 63/308, 14/190, 443/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/308, 14/190, 443/411 quickly i.e. 55818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/308, 14/190, 443/411 is 55818.

LCM(63/308, 14/190, 443/411) = 55818

LCM of 63/308, 14/190, 443/411

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 63/308,14/190,443/411

Given numbers are 63/308,14/190,443/411

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 63,14,443

Least Common Multiple of Numerators i.e. LCM of 63,14,443 is 55818.

GCF of Denominators means GCF of 308,190,411 as per the given fractions.

GCF of 308,190,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,14,443

LCM of Fractions 63/308,14/190,443/411 is 55818

7 63, 14, 443
9, 2, 443

∴ So the LCM of the given numbers is 7 x 9 x 2 x 443 = 55818

Least Common Multiple of 63,14,443 with GCF Formula

Least Common Multiple of 63,14,443 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 63,14,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,14,443) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(63,14,443) x common factors =1 x 7 = 7

LCM(63,14,443) = ( 63 × 14 × 443 ) / 7

LCM(63,14,443) = 390726 / 7

LCM(63,14,443) = 55818


Lets's calculate GCF of 308,190,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55818/1

Therefore the LCM of Fractions 63/308,14/190,443/411 is 55818

Greatest Common Factor of 308,190,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,190,411 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

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 308,190,411 . The biggest common factor number is the GCF number.
So the greatest common factor 308,190,411 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 63/308, 14/190, 443/411

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 63/308, 14/190, 443/411?

Answer: LCM of Numerators as per given numbers 63/308, 14/190, 443/411 is

LCM of Numerators i.e. for 63,14,443 is 55818

GCF of denominators i.e. for 308,190,411 is 1.

Thus, LCM of Fractions is 55818.Finally, LCM of Fractions for 63/308, 14/190, 443/411 is 55818.