Least Common Multiple of 60/504, 51/544, 834/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/504, 51/544, 834/239 quickly i.e. 141780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/504, 51/544, 834/239 is 141780.

LCM(60/504, 51/544, 834/239) = 141780

LCM of 60/504, 51/544, 834/239

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 60/504,51/544,834/239

Given numbers are 60/504,51/544,834/239

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 60,51,834

Least Common Multiple of Numerators i.e. LCM of 60,51,834 is 141780.

GCF of Denominators means GCF of 504,544,239 as per the given fractions.

GCF of 504,544,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,51,834

LCM of Fractions 60/504,51/544,834/239 is 141780

2 60, 51, 834
3 30, 51, 417
10, 17, 139

∴ So the LCM of the given numbers is 2 x 3 x 10 x 17 x 139 = 141780

Least Common Multiple of 60,51,834 with GCF Formula

Least Common Multiple of 60,51,834 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 60,51,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,51,834) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(60,51,834) x common factors =3 x 6 = 18

LCM(60,51,834) = ( 60 × 51 × 834 ) / 18

LCM(60,51,834) = 2552040 / 18

LCM(60,51,834) = 141780


Lets's calculate GCF of 504,544,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141780/1

Therefore the LCM of Fractions 60/504,51/544,834/239 is 141780

Greatest Common Factor of 504,544,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,544,239 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 504,544,239 . The biggest common factor number is the GCF number.
So the greatest common factor 504,544,239 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 60/504, 51/544, 834/239

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 60/504, 51/544, 834/239?

Answer: LCM of Numerators as per given numbers 60/504, 51/544, 834/239 is

LCM of Numerators i.e. for 60,51,834 is 141780

GCF of denominators i.e. for 504,544,239 is 1.

Thus, LCM of Fractions is 141780.Finally, LCM of Fractions for 60/504, 51/544, 834/239 is 141780.