Least Common Multiple of 7050/924, 3717/3600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7050/924, 3717/3600 quickly i.e. 8734950/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7050/924, 3717/3600 is 8734950/12.

LCM(7050/924, 3717/3600) = 8734950/12

LCM of 7050/924, 3717/3600

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 7050/924,3717/3600

Given numbers are 7050/924,3717/3600

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 7050,3717

Least Common Multiple of Numerators i.e. LCM of 7050,3717 is 8734950.

GCF of Denominators means GCF of 924,3600 as per the given fractions.

GCF of 924,3600 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7050,3717

LCM of Fractions 7050/924,3717/3600 is 8734950/12

3 7050, 3717
2350, 1239

∴ So the LCM of the given numbers is 3 x 2350 x 1239 = 8734950

Least Common Multiple of 7050,3717 with GCF Formula

Least Common Multiple of 7050,3717 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 7050,3717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7050,3717) = 3

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

GCF(7050,3717) x common factors =3 x 1 = 3

LCM(7050,3717) = ( 7050 × 3717 ) / 3

LCM(7050,3717) = 26204850 / 3

LCM(7050,3717) = 8734950


Lets's calculate GCF of 924,3600

2 924, 3600
2 462, 1800
3 231, 900
77, 300

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8734950/12

Therefore the LCM of Fractions 7050/924,3717/3600 is 8734950/12

Greatest Common Factor of 924,3600 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,3600 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 3600

List of positive integer factors of 3600 that divides 3600 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600

Greatest Common Factor

We found the factors 924,3600 . The biggest common factor number is the GCF number.
So the greatest common factor 924,3600 is 12.


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 7050/924, 3717/3600

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 7050/924, 3717/3600?

Answer: LCM of Numerators as per given numbers 7050/924, 3717/3600 is

LCM of Numerators i.e. for 7050,3717 is 8734950

GCF of denominators i.e. for 924,3600 is 12.

Thus, LCM of Fractions is 8734950/12.Finally, LCM of Fractions for 7050/924, 3717/3600 is 8734950/12.