Least Common Multiple of 69/824, 52/717, 502/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/824, 52/717, 502/754 quickly i.e. 900588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/824, 52/717, 502/754 is 900588.

LCM(69/824, 52/717, 502/754) = 900588

LCM of 69/824, 52/717, 502/754

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 69/824,52/717,502/754

Given numbers are 69/824,52/717,502/754

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 69,52,502

Least Common Multiple of Numerators i.e. LCM of 69,52,502 is 900588.

GCF of Denominators means GCF of 824,717,754 as per the given fractions.

GCF of 824,717,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,52,502

LCM of Fractions 69/824,52/717,502/754 is 900588

2 69, 52, 502
69, 26, 251

∴ So the LCM of the given numbers is 2 x 69 x 26 x 251 = 900588

Least Common Multiple of 69,52,502 with GCF Formula

Least Common Multiple of 69,52,502 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 69,52,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,52,502) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(69,52,502) x common factors =1 x 2 = 2

LCM(69,52,502) = ( 69 × 52 × 502 ) / 2

LCM(69,52,502) = 1801176 / 2

LCM(69,52,502) = 900588


Lets's calculate GCF of 824,717,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 900588/1

Therefore the LCM of Fractions 69/824,52/717,502/754 is 900588

Greatest Common Factor of 824,717,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,717,754 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 824,717,754 . The biggest common factor number is the GCF number.
So the greatest common factor 824,717,754 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 69/824, 52/717, 502/754

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 69/824, 52/717, 502/754?

Answer: LCM of Numerators as per given numbers 69/824, 52/717, 502/754 is

LCM of Numerators i.e. for 69,52,502 is 900588

GCF of denominators i.e. for 824,717,754 is 1.

Thus, LCM of Fractions is 900588.Finally, LCM of Fractions for 69/824, 52/717, 502/754 is 900588.