Least Common Multiple of 141/29, 716/73, 926/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 141/29, 716/73, 926/77 quickly i.e. 46742628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 141/29, 716/73, 926/77 is 46742628.

LCM(141/29, 716/73, 926/77) = 46742628

LCM of 141/29, 716/73, 926/77

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 141/29,716/73,926/77

Given numbers are 141/29,716/73,926/77

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 141,716,926

Least Common Multiple of Numerators i.e. LCM of 141,716,926 is 46742628.

GCF of Denominators means GCF of 29,73,77 as per the given fractions.

GCF of 29,73,77 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 141,716,926

LCM of Fractions 141/29,716/73,926/77 is 46742628

2 141, 716, 926
141, 358, 463

∴ So the LCM of the given numbers is 2 x 141 x 358 x 463 = 46742628

Least Common Multiple of 141,716,926 with GCF Formula

Least Common Multiple of 141,716,926 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 141,716,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,716,926) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(141,716,926) x common factors =1 x 2 = 2

LCM(141,716,926) = ( 141 × 716 × 926 ) / 2

LCM(141,716,926) = 93485256 / 2

LCM(141,716,926) = 46742628


Lets's calculate GCF of 29,73,77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46742628/1

Therefore the LCM of Fractions 141/29,716/73,926/77 is 46742628

Greatest Common Factor of 29,73,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,73,77 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors 29,73,77 . The biggest common factor number is the GCF number.
So the greatest common factor 29,73,77 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 141/29, 716/73, 926/77

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 141/29, 716/73, 926/77?

Answer: LCM of Numerators as per given numbers 141/29, 716/73, 926/77 is

LCM of Numerators i.e. for 141,716,926 is 46742628

GCF of denominators i.e. for 29,73,77 is 1.

Thus, LCM of Fractions is 46742628.Finally, LCM of Fractions for 141/29, 716/73, 926/77 is 46742628.