Least Common Multiple of 4225/966, 9776/9027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4225/966, 9776/9027 quickly i.e. 3177200/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4225/966, 9776/9027 is 3177200/3.

LCM(4225/966, 9776/9027) = 3177200/3

LCM of 4225/966, 9776/9027

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 4225/966,9776/9027

Given numbers are 4225/966,9776/9027

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 4225,9776

Least Common Multiple of Numerators i.e. LCM of 4225,9776 is 3177200.

GCF of Denominators means GCF of 966,9027 as per the given fractions.

GCF of 966,9027 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4225,9776

LCM of Fractions 4225/966,9776/9027 is 3177200/3

13 4225, 9776
325, 752

∴ So the LCM of the given numbers is 13 x 325 x 752 = 3177200

Least Common Multiple of 4225,9776 with GCF Formula

Least Common Multiple of 4225,9776 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 4225,9776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4225,9776) = 13

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

GCF(4225,9776) x common factors =13 x 1 = 13

LCM(4225,9776) = ( 4225 × 9776 ) / 13

LCM(4225,9776) = 41303600 / 13

LCM(4225,9776) = 3177200


Lets's calculate GCF of 966,9027

3 966, 9027
322, 3009

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3177200/3

Therefore the LCM of Fractions 4225/966,9776/9027 is 3177200/3

Greatest Common Factor of 966,9027 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,9027 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 9027

List of positive integer factors of 9027 that divides 9027 without a remainder.

1,3,9,17,51,59,153,177,531,1003,3009,9027

Greatest Common Factor

We found the factors 966,9027 . The biggest common factor number is the GCF number.
So the greatest common factor 966,9027 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4225/966, 9776/9027

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 4225/966, 9776/9027?

Answer: LCM of Numerators as per given numbers 4225/966, 9776/9027 is

LCM of Numerators i.e. for 4225,9776 is 3177200

GCF of denominators i.e. for 966,9027 is 3.

Thus, LCM of Fractions is 3177200/3.Finally, LCM of Fractions for 4225/966, 9776/9027 is 3177200/3.