Least Common Multiple of 4/92, 61/20, 163/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4/92, 61/20, 163/78 quickly i.e. 19886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/92, 61/20, 163/78 is 19886.

LCM(4/92, 61/20, 163/78) = 19886

LCM of 4/92, 61/20, 163/78

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 4/92,61/20,163/78

Given numbers are 4/92,61/20,163/78

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 4,61,163

Least Common Multiple of Numerators i.e. LCM of 4,61,163 is 39772.

GCF of Denominators means GCF of 92,20,78 as per the given fractions.

GCF of 92,20,78 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,61,163

LCM of Fractions 4/92,61/20,163/78 is 19886

Given numbers has no common factors except 1. So, there LCM is their product i.e 39772

Least Common Multiple of 4,61,163 with GCF Formula

Least Common Multiple of 4,61,163 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 4,61,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,61,163) = 1

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

GCF(4,61,163) x common factors =1 x 1 = 1

LCM(4,61,163) = ( 4 × 61 × 163 ) / 1

LCM(4,61,163) = 39772 / 1

LCM(4,61,163) = 39772


Lets's calculate GCF of 92,20,78

2 92, 20, 78
46, 10, 39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39772/2

Therefore the LCM of Fractions 4/92,61/20,163/78 is 19886

Greatest Common Factor of 92,20,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,20,78 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 92,20,78 . The biggest common factor number is the GCF number.
So the greatest common factor 92,20,78 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4/92, 61/20, 163/78

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 4/92, 61/20, 163/78?

Answer: LCM of Numerators as per given numbers 4/92, 61/20, 163/78 is

LCM of Numerators i.e. for 4,61,163 is 39772

GCF of denominators i.e. for 92,20,78 is 2.

Thus, LCM of Fractions is 19886.Finally, LCM of Fractions for 4/92, 61/20, 163/78 is 19886.