Least Common Multiple of 1045/76, 2991/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1045/76, 2991/744 quickly i.e. 3125595/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1045/76, 2991/744 is 3125595/4.

LCM(1045/76, 2991/744) = 3125595/4

LCM of 1045/76, 2991/744

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 1045/76,2991/744

Given numbers are 1045/76,2991/744

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 1045,2991

Least Common Multiple of Numerators i.e. LCM of 1045,2991 is 3125595.

GCF of Denominators means GCF of 76,744 as per the given fractions.

GCF of 76,744 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1045,2991

LCM of Fractions 1045/76,2991/744 is 3125595/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 3125595

Least Common Multiple of 1045,2991 with GCF Formula

Least Common Multiple of 1045,2991 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 1045,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1045,2991) = 1

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

GCF(1045,2991) x common factors =1 x 1 = 1

LCM(1045,2991) = ( 1045 × 2991 ) / 1

LCM(1045,2991) = 3125595 / 1

LCM(1045,2991) = 3125595


Lets's calculate GCF of 76,744

2 76, 744
2 38, 372
19, 186

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3125595/4

Therefore the LCM of Fractions 1045/76,2991/744 is 3125595/4

Greatest Common Factor of 76,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,744 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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

Greatest Common Factor

We found the factors 76,744 . The biggest common factor number is the GCF number.
So the greatest common factor 76,744 is 4.


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 1045/76, 2991/744

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 1045/76, 2991/744?

Answer: LCM of Numerators as per given numbers 1045/76, 2991/744 is

LCM of Numerators i.e. for 1045,2991 is 3125595

GCF of denominators i.e. for 76,744 is 4.

Thus, LCM of Fractions is 3125595/4.Finally, LCM of Fractions for 1045/76, 2991/744 is 3125595/4.