Least Common Multiple of 754/994, 5864/8547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/994, 5864/8547 quickly i.e. 2210728/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/994, 5864/8547 is 2210728/7.

LCM(754/994, 5864/8547) = 2210728/7

LCM of 754/994, 5864/8547

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 754/994,5864/8547

Given numbers are 754/994,5864/8547

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 754,5864

Least Common Multiple of Numerators i.e. LCM of 754,5864 is 2210728.

GCF of Denominators means GCF of 994,8547 as per the given fractions.

GCF of 994,8547 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,5864

LCM of Fractions 754/994,5864/8547 is 2210728/7

2 754, 5864
377, 2932

∴ So the LCM of the given numbers is 2 x 377 x 2932 = 2210728

Least Common Multiple of 754,5864 with GCF Formula

Least Common Multiple of 754,5864 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 754,5864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,5864) = 2

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

GCF(754,5864) x common factors =2 x 1 = 2

LCM(754,5864) = ( 754 × 5864 ) / 2

LCM(754,5864) = 4421456 / 2

LCM(754,5864) = 2210728


Lets's calculate GCF of 994,8547

7 994, 8547
142, 1221

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2210728/7

Therefore the LCM of Fractions 754/994,5864/8547 is 2210728/7

Greatest Common Factor of 994,8547 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,8547 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 8547

List of positive integer factors of 8547 that divides 8547 without a remainder.

1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547

Greatest Common Factor

We found the factors 994,8547 . The biggest common factor number is the GCF number.
So the greatest common factor 994,8547 is 7.


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 754/994, 5864/8547

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 754/994, 5864/8547?

Answer: LCM of Numerators as per given numbers 754/994, 5864/8547 is

LCM of Numerators i.e. for 754,5864 is 2210728

GCF of denominators i.e. for 994,8547 is 7.

Thus, LCM of Fractions is 2210728/7.Finally, LCM of Fractions for 754/994, 5864/8547 is 2210728/7.