Least Common Multiple of 19/251, 61/501, 546/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/251, 61/501, 546/159 quickly i.e. 632814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/251, 61/501, 546/159 is 632814.

LCM(19/251, 61/501, 546/159) = 632814

LCM of 19/251, 61/501, 546/159

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 19/251,61/501,546/159

Given numbers are 19/251,61/501,546/159

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 19,61,546

Least Common Multiple of Numerators i.e. LCM of 19,61,546 is 632814.

GCF of Denominators means GCF of 251,501,159 as per the given fractions.

GCF of 251,501,159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,61,546

LCM of Fractions 19/251,61/501,546/159 is 632814

Given numbers has no common factors except 1. So, there LCM is their product i.e 632814

Least Common Multiple of 19,61,546 with GCF Formula

Least Common Multiple of 19,61,546 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 19,61,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,61,546) = 1

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

GCF(19,61,546) x common factors =1 x 1 = 1

LCM(19,61,546) = ( 19 × 61 × 546 ) / 1

LCM(19,61,546) = 632814 / 1

LCM(19,61,546) = 632814


Lets's calculate GCF of 251,501,159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 632814/1

Therefore the LCM of Fractions 19/251,61/501,546/159 is 632814

Greatest Common Factor of 251,501,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,501,159 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 251,501,159 . The biggest common factor number is the GCF number.
So the greatest common factor 251,501,159 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 19/251, 61/501, 546/159

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 19/251, 61/501, 546/159?

Answer: LCM of Numerators as per given numbers 19/251, 61/501, 546/159 is

LCM of Numerators i.e. for 19,61,546 is 632814

GCF of denominators i.e. for 251,501,159 is 1.

Thus, LCM of Fractions is 632814.Finally, LCM of Fractions for 19/251, 61/501, 546/159 is 632814.