Least Common Multiple of 4178/335, 3009/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4178/335, 3009/134 quickly i.e. 12571602/67 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4178/335, 3009/134 is 12571602/67.

LCM(4178/335, 3009/134) = 12571602/67

LCM of 4178/335, 3009/134

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 4178/335,3009/134

Given numbers are 4178/335,3009/134

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 4178,3009

Least Common Multiple of Numerators i.e. LCM of 4178,3009 is 12571602.

GCF of Denominators means GCF of 335,134 as per the given fractions.

GCF of 335,134 is 67 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4178,3009

LCM of Fractions 4178/335,3009/134 is 12571602/67

Given numbers has no common factors except 1. So, there LCM is their product i.e 12571602

Least Common Multiple of 4178,3009 with GCF Formula

Least Common Multiple of 4178,3009 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 4178,3009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4178,3009) = 1

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

GCF(4178,3009) x common factors =1 x 1 = 1

LCM(4178,3009) = ( 4178 × 3009 ) / 1

LCM(4178,3009) = 12571602 / 1

LCM(4178,3009) = 12571602


Lets's calculate GCF of 335,134

67 335, 134
5, 2

∴ So the GCF of the given numbers is 67 = 67

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12571602/67

Therefore the LCM of Fractions 4178/335,3009/134 is 12571602/67

Greatest Common Factor of 335,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,134 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 335,134 . The biggest common factor number is the GCF number.
So the greatest common factor 335,134 is 67.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4178/335, 3009/134

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 4178/335, 3009/134?

Answer: LCM of Numerators as per given numbers 4178/335, 3009/134 is

LCM of Numerators i.e. for 4178,3009 is 12571602

GCF of denominators i.e. for 335,134 is 67.

Thus, LCM of Fractions is 12571602/67.Finally, LCM of Fractions for 4178/335, 3009/134 is 12571602/67.