Least Common Multiple of 945/66, 167/1626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 945/66, 167/1626 quickly i.e. 157815/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/66, 167/1626 is 157815/6.

LCM(945/66, 167/1626) = 157815/6

LCM of 945/66, 167/1626

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 945/66,167/1626

Given numbers are 945/66,167/1626

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 945,167

Least Common Multiple of Numerators i.e. LCM of 945,167 is 157815.

GCF of Denominators means GCF of 66,1626 as per the given fractions.

GCF of 66,1626 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,167

LCM of Fractions 945/66,167/1626 is 157815/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 157815

Least Common Multiple of 945,167 with GCF Formula

Least Common Multiple of 945,167 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 945,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,167) = 1

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

GCF(945,167) x common factors =1 x 1 = 1

LCM(945,167) = ( 945 × 167 ) / 1

LCM(945,167) = 157815 / 1

LCM(945,167) = 157815


Lets's calculate GCF of 66,1626

2 66, 1626
3 33, 813
11, 271

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157815/6

Therefore the LCM of Fractions 945/66,167/1626 is 157815/6

Greatest Common Factor of 66,1626 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,1626 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 1626

List of positive integer factors of 1626 that divides 1626 without a remainder.

1,2,3,6,271,542,813,1626

Greatest Common Factor

We found the factors 66,1626 . The biggest common factor number is the GCF number.
So the greatest common factor 66,1626 is 6.


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Frequently Asked Questions on Fractional LCM of 945/66, 167/1626

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 945/66, 167/1626?

Answer: LCM of Numerators as per given numbers 945/66, 167/1626 is

LCM of Numerators i.e. for 945,167 is 157815

GCF of denominators i.e. for 66,1626 is 6.

Thus, LCM of Fractions is 157815/6.Finally, LCM of Fractions for 945/66, 167/1626 is 157815/6.