Least Common Multiple of 5848/966, 1422/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5848/966, 1422/321 quickly i.e. 1385976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5848/966, 1422/321 is 1385976.

LCM(5848/966, 1422/321) = 1385976

LCM of 5848/966, 1422/321

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 5848/966,1422/321

Given numbers are 5848/966,1422/321

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 5848,1422

Least Common Multiple of Numerators i.e. LCM of 5848,1422 is 4157928.

GCF of Denominators means GCF of 966,321 as per the given fractions.

GCF of 966,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5848,1422

LCM of Fractions 5848/966,1422/321 is 1385976

2 5848, 1422
2924, 711

∴ So the LCM of the given numbers is 2 x 2924 x 711 = 4157928

Least Common Multiple of 5848,1422 with GCF Formula

Least Common Multiple of 5848,1422 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 5848,1422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5848,1422) = 2

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

GCF(5848,1422) x common factors =2 x 1 = 2

LCM(5848,1422) = ( 5848 × 1422 ) / 2

LCM(5848,1422) = 8315856 / 2

LCM(5848,1422) = 4157928


Lets's calculate GCF of 966,321

3 966, 321
322, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4157928/3

Therefore the LCM of Fractions 5848/966,1422/321 is 1385976

Greatest Common Factor of 966,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,321 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 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 966,321 . The biggest common factor number is the GCF number.
So the greatest common factor 966,321 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5848/966, 1422/321

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 5848/966, 1422/321?

Answer: LCM of Numerators as per given numbers 5848/966, 1422/321 is

LCM of Numerators i.e. for 5848,1422 is 4157928

GCF of denominators i.e. for 966,321 is 3.

Thus, LCM of Fractions is 1385976.Finally, LCM of Fractions for 5848/966, 1422/321 is 1385976.