Least Common Multiple of 6226/145, 6983/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6226/145, 6983/832 quickly i.e. 43476158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6226/145, 6983/832 is 43476158.

LCM(6226/145, 6983/832) = 43476158

LCM of 6226/145, 6983/832

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 6226/145,6983/832

Given numbers are 6226/145,6983/832

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 6226,6983

Least Common Multiple of Numerators i.e. LCM of 6226,6983 is 43476158.

GCF of Denominators means GCF of 145,832 as per the given fractions.

GCF of 145,832 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6226,6983

LCM of Fractions 6226/145,6983/832 is 43476158

Given numbers has no common factors except 1. So, there LCM is their product i.e 43476158

Least Common Multiple of 6226,6983 with GCF Formula

Least Common Multiple of 6226,6983 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 6226,6983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6226,6983) = 1

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

GCF(6226,6983) x common factors =1 x 1 = 1

LCM(6226,6983) = ( 6226 × 6983 ) / 1

LCM(6226,6983) = 43476158 / 1

LCM(6226,6983) = 43476158


Lets's calculate GCF of 145,832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43476158/1

Therefore the LCM of Fractions 6226/145,6983/832 is 43476158

Greatest Common Factor of 145,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,832 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 145,832 . The biggest common factor number is the GCF number.
So the greatest common factor 145,832 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6226/145, 6983/832

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 6226/145, 6983/832?

Answer: LCM of Numerators as per given numbers 6226/145, 6983/832 is

LCM of Numerators i.e. for 6226,6983 is 43476158

GCF of denominators i.e. for 145,832 is 1.

Thus, LCM of Fractions is 43476158.Finally, LCM of Fractions for 6226/145, 6983/832 is 43476158.