Least Common Multiple of 61/40, 786/43, 731/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/40, 786/43, 731/692 quickly i.e. 35048526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/40, 786/43, 731/692 is 35048526.

LCM(61/40, 786/43, 731/692) = 35048526

LCM of 61/40, 786/43, 731/692

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 61/40,786/43,731/692

Given numbers are 61/40,786/43,731/692

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 61,786,731

Least Common Multiple of Numerators i.e. LCM of 61,786,731 is 35048526.

GCF of Denominators means GCF of 40,43,692 as per the given fractions.

GCF of 40,43,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,786,731

LCM of Fractions 61/40,786/43,731/692 is 35048526

Given numbers has no common factors except 1. So, there LCM is their product i.e 35048526

Least Common Multiple of 61,786,731 with GCF Formula

Least Common Multiple of 61,786,731 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 61,786,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,786,731) = 1

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

GCF(61,786,731) x common factors =1 x 1 = 1

LCM(61,786,731) = ( 61 × 786 × 731 ) / 1

LCM(61,786,731) = 35048526 / 1

LCM(61,786,731) = 35048526


Lets's calculate GCF of 40,43,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35048526/1

Therefore the LCM of Fractions 61/40,786/43,731/692 is 35048526

Greatest Common Factor of 40,43,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,43,692 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 40,43,692 . The biggest common factor number is the GCF number.
So the greatest common factor 40,43,692 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 61/40, 786/43, 731/692

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 61/40, 786/43, 731/692?

Answer: LCM of Numerators as per given numbers 61/40, 786/43, 731/692 is

LCM of Numerators i.e. for 61,786,731 is 35048526

GCF of denominators i.e. for 40,43,692 is 1.

Thus, LCM of Fractions is 35048526.Finally, LCM of Fractions for 61/40, 786/43, 731/692 is 35048526.