Least Common Multiple of 171/620, 8167/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 171/620, 8167/646 quickly i.e. 1396557/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/620, 8167/646 is 1396557/2.

LCM(171/620, 8167/646) = 1396557/2

LCM of 171/620, 8167/646

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 171/620,8167/646

Given numbers are 171/620,8167/646

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 171,8167

Least Common Multiple of Numerators i.e. LCM of 171,8167 is 1396557.

GCF of Denominators means GCF of 620,646 as per the given fractions.

GCF of 620,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,8167

LCM of Fractions 171/620,8167/646 is 1396557/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1396557

Least Common Multiple of 171,8167 with GCF Formula

Least Common Multiple of 171,8167 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 171,8167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,8167) = 1

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

GCF(171,8167) x common factors =1 x 1 = 1

LCM(171,8167) = ( 171 × 8167 ) / 1

LCM(171,8167) = 1396557 / 1

LCM(171,8167) = 1396557


Lets's calculate GCF of 620,646

2 620, 646
310, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1396557/2

Therefore the LCM of Fractions 171/620,8167/646 is 1396557/2

Greatest Common Factor of 620,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,646 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 620,646 . The biggest common factor number is the GCF number.
So the greatest common factor 620,646 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 171/620, 8167/646

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 171/620, 8167/646?

Answer: LCM of Numerators as per given numbers 171/620, 8167/646 is

LCM of Numerators i.e. for 171,8167 is 1396557

GCF of denominators i.e. for 620,646 is 2.

Thus, LCM of Fractions is 1396557/2.Finally, LCM of Fractions for 171/620, 8167/646 is 1396557/2.