Least Common Multiple of 61/768, 23/528, 526/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/768, 23/528, 526/569 quickly i.e. 737978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/768, 23/528, 526/569 is 737978.

LCM(61/768, 23/528, 526/569) = 737978

LCM of 61/768, 23/528, 526/569

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 61/768,23/528,526/569

Given numbers are 61/768,23/528,526/569

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 61,23,526

Least Common Multiple of Numerators i.e. LCM of 61,23,526 is 737978.

GCF of Denominators means GCF of 768,528,569 as per the given fractions.

GCF of 768,528,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,23,526

LCM of Fractions 61/768,23/528,526/569 is 737978

Given numbers has no common factors except 1. So, there LCM is their product i.e 737978

Least Common Multiple of 61,23,526 with GCF Formula

Least Common Multiple of 61,23,526 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 61,23,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,23,526) = 1

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

GCF(61,23,526) x common factors =1 x 1 = 1

LCM(61,23,526) = ( 61 × 23 × 526 ) / 1

LCM(61,23,526) = 737978 / 1

LCM(61,23,526) = 737978


Lets's calculate GCF of 768,528,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 737978/1

Therefore the LCM of Fractions 61/768,23/528,526/569 is 737978

Greatest Common Factor of 768,528,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,528,569 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 768,528,569 . The biggest common factor number is the GCF number.
So the greatest common factor 768,528,569 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 61/768, 23/528, 526/569

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 61/768, 23/528, 526/569?

Answer: LCM of Numerators as per given numbers 61/768, 23/528, 526/569 is

LCM of Numerators i.e. for 61,23,526 is 737978

GCF of denominators i.e. for 768,528,569 is 1.

Thus, LCM of Fractions is 737978.Finally, LCM of Fractions for 61/768, 23/528, 526/569 is 737978.