Least Common Multiple of 751/744, 741/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 751/744, 741/999 quickly i.e. 185497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 751/744, 741/999 is 185497.

LCM(751/744, 741/999) = 185497

LCM of 751/744, 741/999

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 751/744,741/999

Given numbers are 751/744,741/999

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 751,741

Least Common Multiple of Numerators i.e. LCM of 751,741 is 556491.

GCF of Denominators means GCF of 744,999 as per the given fractions.

GCF of 744,999 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 751,741

LCM of Fractions 751/744,741/999 is 185497

Given numbers has no common factors except 1. So, there LCM is their product i.e 556491

Least Common Multiple of 751,741 with GCF Formula

Least Common Multiple of 751,741 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 751,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,741) = 1

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

GCF(751,741) x common factors =1 x 1 = 1

LCM(751,741) = ( 751 × 741 ) / 1

LCM(751,741) = 556491 / 1

LCM(751,741) = 556491


Lets's calculate GCF of 744,999

3 744, 999
248, 333

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 556491/3

Therefore the LCM of Fractions 751/744,741/999 is 185497

Greatest Common Factor of 744,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,999 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 744,999 . The biggest common factor number is the GCF number.
So the greatest common factor 744,999 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 751/744, 741/999

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 751/744, 741/999?

Answer: LCM of Numerators as per given numbers 751/744, 741/999 is

LCM of Numerators i.e. for 751,741 is 556491

GCF of denominators i.e. for 744,999 is 3.

Thus, LCM of Fractions is 185497.Finally, LCM of Fractions for 751/744, 741/999 is 185497.