Least Common Multiple of 60/523, 275/399, 811/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/523, 275/399, 811/753 quickly i.e. 2676300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/523, 275/399, 811/753 is 2676300.

LCM(60/523, 275/399, 811/753) = 2676300

LCM of 60/523, 275/399, 811/753

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 60/523,275/399,811/753

Given numbers are 60/523,275/399,811/753

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 60,275,811

Least Common Multiple of Numerators i.e. LCM of 60,275,811 is 2676300.

GCF of Denominators means GCF of 523,399,753 as per the given fractions.

GCF of 523,399,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,275,811

LCM of Fractions 60/523,275/399,811/753 is 2676300

5 60, 275, 811
12, 55, 811

∴ So the LCM of the given numbers is 5 x 12 x 55 x 811 = 2676300

Least Common Multiple of 60,275,811 with GCF Formula

Least Common Multiple of 60,275,811 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 60,275,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,275,811) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(60,275,811) x common factors =1 x 5 = 5

LCM(60,275,811) = ( 60 × 275 × 811 ) / 5

LCM(60,275,811) = 13381500 / 5

LCM(60,275,811) = 2676300


Lets's calculate GCF of 523,399,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2676300/1

Therefore the LCM of Fractions 60/523,275/399,811/753 is 2676300

Greatest Common Factor of 523,399,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,399,753 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 523,399,753 . The biggest common factor number is the GCF number.
So the greatest common factor 523,399,753 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 60/523, 275/399, 811/753

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 60/523, 275/399, 811/753?

Answer: LCM of Numerators as per given numbers 60/523, 275/399, 811/753 is

LCM of Numerators i.e. for 60,275,811 is 2676300

GCF of denominators i.e. for 523,399,753 is 1.

Thus, LCM of Fractions is 2676300.Finally, LCM of Fractions for 60/523, 275/399, 811/753 is 2676300.