Least Common Multiple of 932/19, 742/26, 320/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 932/19, 742/26, 320/671 quickly i.e. 27661760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 932/19, 742/26, 320/671 is 27661760.

LCM(932/19, 742/26, 320/671) = 27661760

LCM of 932/19, 742/26, 320/671

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 932/19,742/26,320/671

Given numbers are 932/19,742/26,320/671

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 932,742,320

Least Common Multiple of Numerators i.e. LCM of 932,742,320 is 27661760.

GCF of Denominators means GCF of 19,26,671 as per the given fractions.

GCF of 19,26,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 932,742,320

LCM of Fractions 932/19,742/26,320/671 is 27661760

2 932, 742, 320
2 466, 371, 160
233, 371, 80

∴ So the LCM of the given numbers is 2 x 2 x 233 x 371 x 80 = 27661760

Least Common Multiple of 932,742,320 with GCF Formula

Least Common Multiple of 932,742,320 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 932,742,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,742,320) = 2

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

GCF(932,742,320) x common factors =2 x 4 = 8

LCM(932,742,320) = ( 932 × 742 × 320 ) / 8

LCM(932,742,320) = 221294080 / 8

LCM(932,742,320) = 27661760


Lets's calculate GCF of 19,26,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27661760/1

Therefore the LCM of Fractions 932/19,742/26,320/671 is 27661760

Greatest Common Factor of 19,26,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,26,671 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 19,26,671 . The biggest common factor number is the GCF number.
So the greatest common factor 19,26,671 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 932/19, 742/26, 320/671

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 932/19, 742/26, 320/671?

Answer: LCM of Numerators as per given numbers 932/19, 742/26, 320/671 is

LCM of Numerators i.e. for 932,742,320 is 27661760

GCF of denominators i.e. for 19,26,671 is 1.

Thus, LCM of Fractions is 27661760.Finally, LCM of Fractions for 932/19, 742/26, 320/671 is 27661760.