Least Common Multiple of 77/696, 243/525, 746/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/696, 243/525, 746/288 quickly i.e. 4652802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/696, 243/525, 746/288 is 4652802.

LCM(77/696, 243/525, 746/288) = 4652802

LCM of 77/696, 243/525, 746/288

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 77/696,243/525,746/288

Given numbers are 77/696,243/525,746/288

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 77,243,746

Least Common Multiple of Numerators i.e. LCM of 77,243,746 is 13958406.

GCF of Denominators means GCF of 696,525,288 as per the given fractions.

GCF of 696,525,288 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,243,746

LCM of Fractions 77/696,243/525,746/288 is 4652802

Given numbers has no common factors except 1. So, there LCM is their product i.e 13958406

Least Common Multiple of 77,243,746 with GCF Formula

Least Common Multiple of 77,243,746 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 77,243,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,243,746) = 1

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

GCF(77,243,746) x common factors =1 x 1 = 1

LCM(77,243,746) = ( 77 × 243 × 746 ) / 1

LCM(77,243,746) = 13958406 / 1

LCM(77,243,746) = 13958406


Lets's calculate GCF of 696,525,288

3 696, 525, 288
232, 175, 96

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13958406/3

Therefore the LCM of Fractions 77/696,243/525,746/288 is 4652802

Greatest Common Factor of 696,525,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,525,288 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

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 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 696,525,288 . The biggest common factor number is the GCF number.
So the greatest common factor 696,525,288 is 3.


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 77/696, 243/525, 746/288

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 77/696, 243/525, 746/288?

Answer: LCM of Numerators as per given numbers 77/696, 243/525, 746/288 is

LCM of Numerators i.e. for 77,243,746 is 13958406

GCF of denominators i.e. for 696,525,288 is 3.

Thus, LCM of Fractions is 4652802.Finally, LCM of Fractions for 77/696, 243/525, 746/288 is 4652802.