Least Common Multiple of 69/525, 231/562, 616/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/525, 231/562, 616/442 quickly i.e. 42504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/525, 231/562, 616/442 is 42504.

LCM(69/525, 231/562, 616/442) = 42504

LCM of 69/525, 231/562, 616/442

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 69/525,231/562,616/442

Given numbers are 69/525,231/562,616/442

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 69,231,616

Least Common Multiple of Numerators i.e. LCM of 69,231,616 is 42504.

GCF of Denominators means GCF of 525,562,442 as per the given fractions.

GCF of 525,562,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,231,616

LCM of Fractions 69/525,231/562,616/442 is 42504

3 69, 231, 616
7 23, 77, 616
11 23, 11, 88
23, 1, 8

∴ So the LCM of the given numbers is 3 x 7 x 11 x 23 x 1 x 8 = 42504

Least Common Multiple of 69,231,616 with GCF Formula

Least Common Multiple of 69,231,616 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 69,231,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,231,616) = 1

common factors(in case of two or more numbers have common factors) = 231

GCF(69,231,616) x common factors =1 x 231 = 231

LCM(69,231,616) = ( 69 × 231 × 616 ) / 231

LCM(69,231,616) = 9818424 / 231

LCM(69,231,616) = 42504


Lets's calculate GCF of 525,562,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42504/1

Therefore the LCM of Fractions 69/525,231/562,616/442 is 42504

Greatest Common Factor of 525,562,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,562,442 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 525,562,442 . The biggest common factor number is the GCF number.
So the greatest common factor 525,562,442 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 69/525, 231/562, 616/442

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 69/525, 231/562, 616/442?

Answer: LCM of Numerators as per given numbers 69/525, 231/562, 616/442 is

LCM of Numerators i.e. for 69,231,616 is 42504

GCF of denominators i.e. for 525,562,442 is 1.

Thus, LCM of Fractions is 42504.Finally, LCM of Fractions for 69/525, 231/562, 616/442 is 42504.