Least Common Multiple of 4525/286, 7966/4334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4525/286, 7966/4334 quickly i.e. 36046150/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4525/286, 7966/4334 is 36046150/22.

LCM(4525/286, 7966/4334) = 36046150/22

LCM of 4525/286, 7966/4334

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 4525/286,7966/4334

Given numbers are 4525/286,7966/4334

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 4525,7966

Least Common Multiple of Numerators i.e. LCM of 4525,7966 is 36046150.

GCF of Denominators means GCF of 286,4334 as per the given fractions.

GCF of 286,4334 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4525,7966

LCM of Fractions 4525/286,7966/4334 is 36046150/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 36046150

Least Common Multiple of 4525,7966 with GCF Formula

Least Common Multiple of 4525,7966 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 4525,7966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4525,7966) = 1

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

GCF(4525,7966) x common factors =1 x 1 = 1

LCM(4525,7966) = ( 4525 × 7966 ) / 1

LCM(4525,7966) = 36046150 / 1

LCM(4525,7966) = 36046150


Lets's calculate GCF of 286,4334

2 286, 4334
11 143, 2167
13, 197

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36046150/22

Therefore the LCM of Fractions 4525/286,7966/4334 is 36046150/22

Greatest Common Factor of 286,4334 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,4334 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 4334

List of positive integer factors of 4334 that divides 4334 without a remainder.

1,2,11,22,197,394,2167,4334

Greatest Common Factor

We found the factors 286,4334 . The biggest common factor number is the GCF number.
So the greatest common factor 286,4334 is 22.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4525/286, 7966/4334

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 4525/286, 7966/4334?

Answer: LCM of Numerators as per given numbers 4525/286, 7966/4334 is

LCM of Numerators i.e. for 4525,7966 is 36046150

GCF of denominators i.e. for 286,4334 is 22.

Thus, LCM of Fractions is 36046150/22.Finally, LCM of Fractions for 4525/286, 7966/4334 is 36046150/22.