Least Common Multiple of 6337/829, 1223/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6337/829, 1223/462 quickly i.e. 7750151 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6337/829, 1223/462 is 7750151.

LCM(6337/829, 1223/462) = 7750151

LCM of 6337/829, 1223/462

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 6337/829,1223/462

Given numbers are 6337/829,1223/462

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 6337,1223

Least Common Multiple of Numerators i.e. LCM of 6337,1223 is 7750151.

GCF of Denominators means GCF of 829,462 as per the given fractions.

GCF of 829,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6337,1223

LCM of Fractions 6337/829,1223/462 is 7750151

Given numbers has no common factors except 1. So, there LCM is their product i.e 7750151

Least Common Multiple of 6337,1223 with GCF Formula

Least Common Multiple of 6337,1223 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 6337,1223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6337,1223) = 1

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

GCF(6337,1223) x common factors =1 x 1 = 1

LCM(6337,1223) = ( 6337 × 1223 ) / 1

LCM(6337,1223) = 7750151 / 1

LCM(6337,1223) = 7750151


Lets's calculate GCF of 829,462

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7750151/1

Therefore the LCM of Fractions 6337/829,1223/462 is 7750151

Greatest Common Factor of 829,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,462 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 829,462 . The biggest common factor number is the GCF number.
So the greatest common factor 829,462 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6337/829, 1223/462

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 6337/829, 1223/462?

Answer: LCM of Numerators as per given numbers 6337/829, 1223/462 is

LCM of Numerators i.e. for 6337,1223 is 7750151

GCF of denominators i.e. for 829,462 is 1.

Thus, LCM of Fractions is 7750151.Finally, LCM of Fractions for 6337/829, 1223/462 is 7750151.