Least Common Multiple of 4067/904, 1285/7852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4067/904, 1285/7852 quickly i.e. 5226095/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4067/904, 1285/7852 is 5226095/4.

LCM(4067/904, 1285/7852) = 5226095/4

LCM of 4067/904, 1285/7852

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 4067/904,1285/7852

Given numbers are 4067/904,1285/7852

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 4067,1285

Least Common Multiple of Numerators i.e. LCM of 4067,1285 is 5226095.

GCF of Denominators means GCF of 904,7852 as per the given fractions.

GCF of 904,7852 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4067,1285

LCM of Fractions 4067/904,1285/7852 is 5226095/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 5226095

Least Common Multiple of 4067,1285 with GCF Formula

Least Common Multiple of 4067,1285 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 4067,1285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4067,1285) = 1

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

GCF(4067,1285) x common factors =1 x 1 = 1

LCM(4067,1285) = ( 4067 × 1285 ) / 1

LCM(4067,1285) = 5226095 / 1

LCM(4067,1285) = 5226095


Lets's calculate GCF of 904,7852

2 904, 7852
2 452, 3926
226, 1963

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5226095/4

Therefore the LCM of Fractions 4067/904,1285/7852 is 5226095/4

Greatest Common Factor of 904,7852 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,7852 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1,2,4,13,26,52,151,302,604,1963,3926,7852

Greatest Common Factor

We found the factors 904,7852 . The biggest common factor number is the GCF number.
So the greatest common factor 904,7852 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4067/904, 1285/7852

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 4067/904, 1285/7852?

Answer: LCM of Numerators as per given numbers 4067/904, 1285/7852 is

LCM of Numerators i.e. for 4067,1285 is 5226095

GCF of denominators i.e. for 904,7852 is 4.

Thus, LCM of Fractions is 5226095/4.Finally, LCM of Fractions for 4067/904, 1285/7852 is 5226095/4.