Least Common Multiple of 1378/160, 1766/1734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1378/160, 1766/1734 quickly i.e. 608387 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1378/160, 1766/1734 is 608387.

LCM(1378/160, 1766/1734) = 608387

LCM of 1378/160, 1766/1734

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 1378/160,1766/1734

Given numbers are 1378/160,1766/1734

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 1378,1766

Least Common Multiple of Numerators i.e. LCM of 1378,1766 is 1216774.

GCF of Denominators means GCF of 160,1734 as per the given fractions.

GCF of 160,1734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1378,1766

LCM of Fractions 1378/160,1766/1734 is 608387

2 1378, 1766
689, 883

∴ So the LCM of the given numbers is 2 x 689 x 883 = 1216774

Least Common Multiple of 1378,1766 with GCF Formula

Least Common Multiple of 1378,1766 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 1378,1766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1378,1766) = 2

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

GCF(1378,1766) x common factors =2 x 1 = 2

LCM(1378,1766) = ( 1378 × 1766 ) / 2

LCM(1378,1766) = 2433548 / 2

LCM(1378,1766) = 1216774


Lets's calculate GCF of 160,1734

2 160, 1734
80, 867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1216774/2

Therefore the LCM of Fractions 1378/160,1766/1734 is 608387

Greatest Common Factor of 160,1734 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,1734 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 1734

List of positive integer factors of 1734 that divides 1734 without a remainder.

1,2,3,6,17,34,51,102,289,578,867,1734

Greatest Common Factor

We found the factors 160,1734 . The biggest common factor number is the GCF number.
So the greatest common factor 160,1734 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1378/160, 1766/1734

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 1378/160, 1766/1734?

Answer: LCM of Numerators as per given numbers 1378/160, 1766/1734 is

LCM of Numerators i.e. for 1378,1766 is 1216774

GCF of denominators i.e. for 160,1734 is 2.

Thus, LCM of Fractions is 608387.Finally, LCM of Fractions for 1378/160, 1766/1734 is 608387.