Least Common Multiple of 92/27, 19/450, 772/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/27, 19/450, 772/898 quickly i.e. 337364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/27, 19/450, 772/898 is 337364.

LCM(92/27, 19/450, 772/898) = 337364

LCM of 92/27, 19/450, 772/898

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 92/27,19/450,772/898

Given numbers are 92/27,19/450,772/898

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 92,19,772

Least Common Multiple of Numerators i.e. LCM of 92,19,772 is 337364.

GCF of Denominators means GCF of 27,450,898 as per the given fractions.

GCF of 27,450,898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,19,772

LCM of Fractions 92/27,19/450,772/898 is 337364

2 92, 19, 772
2 46, 19, 386
23, 19, 193

∴ So the LCM of the given numbers is 2 x 2 x 23 x 19 x 193 = 337364

Least Common Multiple of 92,19,772 with GCF Formula

Least Common Multiple of 92,19,772 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 92,19,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,19,772) = 1

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

GCF(92,19,772) x common factors =1 x 4 = 4

LCM(92,19,772) = ( 92 × 19 × 772 ) / 4

LCM(92,19,772) = 1349456 / 4

LCM(92,19,772) = 337364


Lets's calculate GCF of 27,450,898

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 337364/1

Therefore the LCM of Fractions 92/27,19/450,772/898 is 337364

Greatest Common Factor of 27,450,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,450,898 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 27,450,898 . The biggest common factor number is the GCF number.
So the greatest common factor 27,450,898 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/27, 19/450, 772/898

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 92/27, 19/450, 772/898?

Answer: LCM of Numerators as per given numbers 92/27, 19/450, 772/898 is

LCM of Numerators i.e. for 92,19,772 is 337364

GCF of denominators i.e. for 27,450,898 is 1.

Thus, LCM of Fractions is 337364.Finally, LCM of Fractions for 92/27, 19/450, 772/898 is 337364.