Least Common Multiple of 7050/120, 3843/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7050/120, 3843/574 quickly i.e. 4515525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7050/120, 3843/574 is 4515525.

LCM(7050/120, 3843/574) = 4515525

LCM of 7050/120, 3843/574

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 7050/120,3843/574

Given numbers are 7050/120,3843/574

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 7050,3843

Least Common Multiple of Numerators i.e. LCM of 7050,3843 is 9031050.

GCF of Denominators means GCF of 120,574 as per the given fractions.

GCF of 120,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7050,3843

LCM of Fractions 7050/120,3843/574 is 4515525

3 7050, 3843
2350, 1281

∴ So the LCM of the given numbers is 3 x 2350 x 1281 = 9031050

Least Common Multiple of 7050,3843 with GCF Formula

Least Common Multiple of 7050,3843 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 7050,3843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7050,3843) = 3

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

GCF(7050,3843) x common factors =3 x 1 = 3

LCM(7050,3843) = ( 7050 × 3843 ) / 3

LCM(7050,3843) = 27093150 / 3

LCM(7050,3843) = 9031050


Lets's calculate GCF of 120,574

2 120, 574
60, 287

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9031050/2

Therefore the LCM of Fractions 7050/120,3843/574 is 4515525

Greatest Common Factor of 120,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,574 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 120,574 . The biggest common factor number is the GCF number.
So the greatest common factor 120,574 is 2.


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 7050/120, 3843/574

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 7050/120, 3843/574?

Answer: LCM of Numerators as per given numbers 7050/120, 3843/574 is

LCM of Numerators i.e. for 7050,3843 is 9031050

GCF of denominators i.e. for 120,574 is 2.

Thus, LCM of Fractions is 4515525.Finally, LCM of Fractions for 7050/120, 3843/574 is 4515525.