Least Common Multiple of 46/622, 38/634, 963/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/622, 38/634, 963/166 quickly i.e. 420831 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/622, 38/634, 963/166 is 420831.

LCM(46/622, 38/634, 963/166) = 420831

LCM of 46/622, 38/634, 963/166

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 46/622,38/634,963/166

Given numbers are 46/622,38/634,963/166

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 46,38,963

Least Common Multiple of Numerators i.e. LCM of 46,38,963 is 841662.

GCF of Denominators means GCF of 622,634,166 as per the given fractions.

GCF of 622,634,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,38,963

LCM of Fractions 46/622,38/634,963/166 is 420831

2 46, 38, 963
23, 19, 963

∴ So the LCM of the given numbers is 2 x 23 x 19 x 963 = 841662

Least Common Multiple of 46,38,963 with GCF Formula

Least Common Multiple of 46,38,963 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 46,38,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,38,963) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,38,963) x common factors =1 x 2 = 2

LCM(46,38,963) = ( 46 × 38 × 963 ) / 2

LCM(46,38,963) = 1683324 / 2

LCM(46,38,963) = 841662


Lets's calculate GCF of 622,634,166

2 622, 634, 166
311, 317, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 841662/2

Therefore the LCM of Fractions 46/622,38/634,963/166 is 420831

Greatest Common Factor of 622,634,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,634,166 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 622,634,166 . The biggest common factor number is the GCF number.
So the greatest common factor 622,634,166 is 2.


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Frequently Asked Questions on Fractional LCM of 46/622, 38/634, 963/166

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 46/622, 38/634, 963/166?

Answer: LCM of Numerators as per given numbers 46/622, 38/634, 963/166 is

LCM of Numerators i.e. for 46,38,963 is 841662

GCF of denominators i.e. for 622,634,166 is 2.

Thus, LCM of Fractions is 420831.Finally, LCM of Fractions for 46/622, 38/634, 963/166 is 420831.