Least Common Multiple of 92/20, 67/16, 772/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/20, 67/16, 772/602 quickly i.e. 594826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/20, 67/16, 772/602 is 594826.

LCM(92/20, 67/16, 772/602) = 594826

LCM of 92/20, 67/16, 772/602

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 92/20,67/16,772/602

Given numbers are 92/20,67/16,772/602

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 92,67,772

Least Common Multiple of Numerators i.e. LCM of 92,67,772 is 1189652.

GCF of Denominators means GCF of 20,16,602 as per the given fractions.

GCF of 20,16,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,67,772

LCM of Fractions 92/20,67/16,772/602 is 594826

2 92, 67, 772
2 46, 67, 386
23, 67, 193

∴ So the LCM of the given numbers is 2 x 2 x 23 x 67 x 193 = 1189652

Least Common Multiple of 92,67,772 with GCF Formula

Least Common Multiple of 92,67,772 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 92,67,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,67,772) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,67,772) x common factors =1 x 4 = 4

LCM(92,67,772) = ( 92 × 67 × 772 ) / 4

LCM(92,67,772) = 4758608 / 4

LCM(92,67,772) = 1189652


Lets's calculate GCF of 20,16,602

2 20, 16, 602
10, 8, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1189652/2

Therefore the LCM of Fractions 92/20,67/16,772/602 is 594826

Greatest Common Factor of 20,16,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,16,602 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 20,16,602 . The biggest common factor number is the GCF number.
So the greatest common factor 20,16,602 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/20, 67/16, 772/602

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 92/20, 67/16, 772/602?

Answer: LCM of Numerators as per given numbers 92/20, 67/16, 772/602 is

LCM of Numerators i.e. for 92,67,772 is 1189652

GCF of denominators i.e. for 20,16,602 is 2.

Thus, LCM of Fractions is 594826.Finally, LCM of Fractions for 92/20, 67/16, 772/602 is 594826.