Least Common Multiple of 40/78, 764/14, 169/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/78, 764/14, 169/397 quickly i.e. 1291160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/78, 764/14, 169/397 is 1291160.

LCM(40/78, 764/14, 169/397) = 1291160

LCM of 40/78, 764/14, 169/397

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 40/78,764/14,169/397

Given numbers are 40/78,764/14,169/397

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 40,764,169

Least Common Multiple of Numerators i.e. LCM of 40,764,169 is 1291160.

GCF of Denominators means GCF of 78,14,397 as per the given fractions.

GCF of 78,14,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,764,169

LCM of Fractions 40/78,764/14,169/397 is 1291160

2 40, 764, 169
2 20, 382, 169
10, 191, 169

∴ So the LCM of the given numbers is 2 x 2 x 10 x 191 x 169 = 1291160

Least Common Multiple of 40,764,169 with GCF Formula

Least Common Multiple of 40,764,169 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 40,764,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,764,169) = 1

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

GCF(40,764,169) x common factors =1 x 4 = 4

LCM(40,764,169) = ( 40 × 764 × 169 ) / 4

LCM(40,764,169) = 5164640 / 4

LCM(40,764,169) = 1291160


Lets's calculate GCF of 78,14,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1291160/1

Therefore the LCM of Fractions 40/78,764/14,169/397 is 1291160

Greatest Common Factor of 78,14,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,14,397 By Matching Biggest Common Factor Method

Factors of 78

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

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

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 78,14,397 . The biggest common factor number is the GCF number.
So the greatest common factor 78,14,397 is 1.


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 40/78, 764/14, 169/397

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 40/78, 764/14, 169/397?

Answer: LCM of Numerators as per given numbers 40/78, 764/14, 169/397 is

LCM of Numerators i.e. for 40,764,169 is 1291160

GCF of denominators i.e. for 78,14,397 is 1.

Thus, LCM of Fractions is 1291160.Finally, LCM of Fractions for 40/78, 764/14, 169/397 is 1291160.