Least Common Multiple of 451/412, 6717/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 451/412, 6717/152 quickly i.e. 3029367/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 451/412, 6717/152 is 3029367/4.

LCM(451/412, 6717/152) = 3029367/4

LCM of 451/412, 6717/152

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 451/412,6717/152

Given numbers are 451/412,6717/152

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 451,6717

Least Common Multiple of Numerators i.e. LCM of 451,6717 is 3029367.

GCF of Denominators means GCF of 412,152 as per the given fractions.

GCF of 412,152 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 451,6717

LCM of Fractions 451/412,6717/152 is 3029367/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 3029367

Least Common Multiple of 451,6717 with GCF Formula

Least Common Multiple of 451,6717 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 451,6717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,6717) = 1

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

GCF(451,6717) x common factors =1 x 1 = 1

LCM(451,6717) = ( 451 × 6717 ) / 1

LCM(451,6717) = 3029367 / 1

LCM(451,6717) = 3029367


Lets's calculate GCF of 412,152

2 412, 152
2 206, 76
103, 38

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3029367/4

Therefore the LCM of Fractions 451/412,6717/152 is 3029367/4

Greatest Common Factor of 412,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,152 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 412,152 . The biggest common factor number is the GCF number.
So the greatest common factor 412,152 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 451/412, 6717/152

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 451/412, 6717/152?

Answer: LCM of Numerators as per given numbers 451/412, 6717/152 is

LCM of Numerators i.e. for 451,6717 is 3029367

GCF of denominators i.e. for 412,152 is 4.

Thus, LCM of Fractions is 3029367/4.Finally, LCM of Fractions for 451/412, 6717/152 is 3029367/4.