Least Common Multiple of 764/624, 3756/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/624, 3756/525 quickly i.e. 239132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/624, 3756/525 is 239132.

LCM(764/624, 3756/525) = 239132

LCM of 764/624, 3756/525

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 764/624,3756/525

Given numbers are 764/624,3756/525

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 764,3756

Least Common Multiple of Numerators i.e. LCM of 764,3756 is 717396.

GCF of Denominators means GCF of 624,525 as per the given fractions.

GCF of 624,525 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,3756

LCM of Fractions 764/624,3756/525 is 239132

2 764, 3756
2 382, 1878
191, 939

∴ So the LCM of the given numbers is 2 x 2 x 191 x 939 = 717396

Least Common Multiple of 764,3756 with GCF Formula

Least Common Multiple of 764,3756 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 764,3756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,3756) = 4

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

GCF(764,3756) x common factors =4 x 1 = 4

LCM(764,3756) = ( 764 × 3756 ) / 4

LCM(764,3756) = 2869584 / 4

LCM(764,3756) = 717396


Lets's calculate GCF of 624,525

3 624, 525
208, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 717396/3

Therefore the LCM of Fractions 764/624,3756/525 is 239132

Greatest Common Factor of 624,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,525 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

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

Greatest Common Factor

We found the factors 624,525 . The biggest common factor number is the GCF number.
So the greatest common factor 624,525 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 764/624, 3756/525

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 764/624, 3756/525?

Answer: LCM of Numerators as per given numbers 764/624, 3756/525 is

LCM of Numerators i.e. for 764,3756 is 717396

GCF of denominators i.e. for 624,525 is 3.

Thus, LCM of Fractions is 239132.Finally, LCM of Fractions for 764/624, 3756/525 is 239132.