Least Common Multiple of 71/68, 73/601, 496/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/68, 73/601, 496/504 quickly i.e. 2570768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/68, 73/601, 496/504 is 2570768.

LCM(71/68, 73/601, 496/504) = 2570768

LCM of 71/68, 73/601, 496/504

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 71/68,73/601,496/504

Given numbers are 71/68,73/601,496/504

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 71,73,496

Least Common Multiple of Numerators i.e. LCM of 71,73,496 is 2570768.

GCF of Denominators means GCF of 68,601,504 as per the given fractions.

GCF of 68,601,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,73,496

LCM of Fractions 71/68,73/601,496/504 is 2570768

Given numbers has no common factors except 1. So, there LCM is their product i.e 2570768

Least Common Multiple of 71,73,496 with GCF Formula

Least Common Multiple of 71,73,496 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 71,73,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,73,496) = 1

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

GCF(71,73,496) x common factors =1 x 1 = 1

LCM(71,73,496) = ( 71 × 73 × 496 ) / 1

LCM(71,73,496) = 2570768 / 1

LCM(71,73,496) = 2570768


Lets's calculate GCF of 68,601,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2570768/1

Therefore the LCM of Fractions 71/68,73/601,496/504 is 2570768

Greatest Common Factor of 68,601,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,601,504 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

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

Greatest Common Factor

We found the factors 68,601,504 . The biggest common factor number is the GCF number.
So the greatest common factor 68,601,504 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 71/68, 73/601, 496/504

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 71/68, 73/601, 496/504?

Answer: LCM of Numerators as per given numbers 71/68, 73/601, 496/504 is

LCM of Numerators i.e. for 71,73,496 is 2570768

GCF of denominators i.e. for 68,601,504 is 1.

Thus, LCM of Fractions is 2570768.Finally, LCM of Fractions for 71/68, 73/601, 496/504 is 2570768.