Least Common Multiple of 746/74, 1113/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/74, 1113/787 quickly i.e. 830298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/74, 1113/787 is 830298.

LCM(746/74, 1113/787) = 830298

LCM of 746/74, 1113/787

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 746/74,1113/787

Given numbers are 746/74,1113/787

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 746,1113

Least Common Multiple of Numerators i.e. LCM of 746,1113 is 830298.

GCF of Denominators means GCF of 74,787 as per the given fractions.

GCF of 74,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,1113

LCM of Fractions 746/74,1113/787 is 830298

Given numbers has no common factors except 1. So, there LCM is their product i.e 830298

Least Common Multiple of 746,1113 with GCF Formula

Least Common Multiple of 746,1113 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 746,1113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,1113) = 1

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

GCF(746,1113) x common factors =1 x 1 = 1

LCM(746,1113) = ( 746 × 1113 ) / 1

LCM(746,1113) = 830298 / 1

LCM(746,1113) = 830298


Lets's calculate GCF of 74,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 830298/1

Therefore the LCM of Fractions 746/74,1113/787 is 830298

Greatest Common Factor of 74,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,787 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 74,787 . The biggest common factor number is the GCF number.
So the greatest common factor 74,787 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 746/74, 1113/787

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 746/74, 1113/787?

Answer: LCM of Numerators as per given numbers 746/74, 1113/787 is

LCM of Numerators i.e. for 746,1113 is 830298

GCF of denominators i.e. for 74,787 is 1.

Thus, LCM of Fractions is 830298.Finally, LCM of Fractions for 746/74, 1113/787 is 830298.