Least Common Multiple of 1174/645, 1482/8041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1174/645, 1482/8041 quickly i.e. 869934/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1174/645, 1482/8041 is 869934/43.

LCM(1174/645, 1482/8041) = 869934/43

LCM of 1174/645, 1482/8041

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 1174/645,1482/8041

Given numbers are 1174/645,1482/8041

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 1174,1482

Least Common Multiple of Numerators i.e. LCM of 1174,1482 is 869934.

GCF of Denominators means GCF of 645,8041 as per the given fractions.

GCF of 645,8041 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1174,1482

LCM of Fractions 1174/645,1482/8041 is 869934/43

2 1174, 1482
587, 741

∴ So the LCM of the given numbers is 2 x 587 x 741 = 869934

Least Common Multiple of 1174,1482 with GCF Formula

Least Common Multiple of 1174,1482 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 1174,1482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1174,1482) = 2

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

GCF(1174,1482) x common factors =2 x 1 = 2

LCM(1174,1482) = ( 1174 × 1482 ) / 2

LCM(1174,1482) = 1739868 / 2

LCM(1174,1482) = 869934


Lets's calculate GCF of 645,8041

43 645, 8041
15, 187

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 869934/43

Therefore the LCM of Fractions 1174/645,1482/8041 is 869934/43

Greatest Common Factor of 645,8041 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,8041 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 8041

List of positive integer factors of 8041 that divides 8041 without a remainder.

1,11,17,43,187,473,731,8041

Greatest Common Factor

We found the factors 645,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 645,8041 is 43.


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 1174/645, 1482/8041

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 1174/645, 1482/8041?

Answer: LCM of Numerators as per given numbers 1174/645, 1482/8041 is

LCM of Numerators i.e. for 1174,1482 is 869934

GCF of denominators i.e. for 645,8041 is 43.

Thus, LCM of Fractions is 869934/43.Finally, LCM of Fractions for 1174/645, 1482/8041 is 869934/43.