Least Common Multiple of 19/182, 63/945, 141/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/182, 63/945, 141/979 quickly i.e. 56259 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/182, 63/945, 141/979 is 56259.

LCM(19/182, 63/945, 141/979) = 56259

LCM of 19/182, 63/945, 141/979

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 19/182,63/945,141/979

Given numbers are 19/182,63/945,141/979

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 19,63,141

Least Common Multiple of Numerators i.e. LCM of 19,63,141 is 56259.

GCF of Denominators means GCF of 182,945,979 as per the given fractions.

GCF of 182,945,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,63,141

LCM of Fractions 19/182,63/945,141/979 is 56259

3 19, 63, 141
19, 21, 47

∴ So the LCM of the given numbers is 3 x 19 x 21 x 47 = 56259

Least Common Multiple of 19,63,141 with GCF Formula

Least Common Multiple of 19,63,141 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 19,63,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,63,141) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,63,141) x common factors =1 x 3 = 3

LCM(19,63,141) = ( 19 × 63 × 141 ) / 3

LCM(19,63,141) = 168777 / 3

LCM(19,63,141) = 56259


Lets's calculate GCF of 182,945,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56259/1

Therefore the LCM of Fractions 19/182,63/945,141/979 is 56259

Greatest Common Factor of 182,945,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,945,979 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 182,945,979 . The biggest common factor number is the GCF number.
So the greatest common factor 182,945,979 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/182, 63/945, 141/979

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 19/182, 63/945, 141/979?

Answer: LCM of Numerators as per given numbers 19/182, 63/945, 141/979 is

LCM of Numerators i.e. for 19,63,141 is 56259

GCF of denominators i.e. for 182,945,979 is 1.

Thus, LCM of Fractions is 56259.Finally, LCM of Fractions for 19/182, 63/945, 141/979 is 56259.