Least Common Multiple of 179/945, 6661/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 179/945, 6661/135 quickly i.e. 1192319/135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/945, 6661/135 is 1192319/135.

LCM(179/945, 6661/135) = 1192319/135

LCM of 179/945, 6661/135

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 179/945,6661/135

Given numbers are 179/945,6661/135

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 179,6661

Least Common Multiple of Numerators i.e. LCM of 179,6661 is 1192319.

GCF of Denominators means GCF of 945,135 as per the given fractions.

GCF of 945,135 is 135 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,6661

LCM of Fractions 179/945,6661/135 is 1192319/135

Given numbers has no common factors except 1. So, there LCM is their product i.e 1192319

Least Common Multiple of 179,6661 with GCF Formula

Least Common Multiple of 179,6661 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 179,6661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,6661) = 1

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

GCF(179,6661) x common factors =1 x 1 = 1

LCM(179,6661) = ( 179 × 6661 ) / 1

LCM(179,6661) = 1192319 / 1

LCM(179,6661) = 1192319


Lets's calculate GCF of 945,135

3 945, 135
3 315, 45
3 105, 15
5 35, 5
7, 1

∴ So the GCF of the given numbers is 3 x 3 x 3 x 5 = 135

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1192319/135

Therefore the LCM of Fractions 179/945,6661/135 is 1192319/135

Greatest Common Factor of 945,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,135 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 945,135 . The biggest common factor number is the GCF number.
So the greatest common factor 945,135 is 135.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 179/945, 6661/135

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 179/945, 6661/135?

Answer: LCM of Numerators as per given numbers 179/945, 6661/135 is

LCM of Numerators i.e. for 179,6661 is 1192319

GCF of denominators i.e. for 945,135 is 135.

Thus, LCM of Fractions is 1192319/135.Finally, LCM of Fractions for 179/945, 6661/135 is 1192319/135.