Least Common Multiple of 6000/86, 1818/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6000/86, 1818/754 quickly i.e. 909000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6000/86, 1818/754 is 909000.

LCM(6000/86, 1818/754) = 909000

LCM of 6000/86, 1818/754

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 6000/86,1818/754

Given numbers are 6000/86,1818/754

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 6000,1818

Least Common Multiple of Numerators i.e. LCM of 6000,1818 is 1818000.

GCF of Denominators means GCF of 86,754 as per the given fractions.

GCF of 86,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6000,1818

LCM of Fractions 6000/86,1818/754 is 909000

2 6000, 1818
3 3000, 909
1000, 303

∴ So the LCM of the given numbers is 2 x 3 x 1000 x 303 = 1818000

Least Common Multiple of 6000,1818 with GCF Formula

Least Common Multiple of 6000,1818 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 6000,1818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6000,1818) = 6

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

GCF(6000,1818) x common factors =6 x 1 = 6

LCM(6000,1818) = ( 6000 × 1818 ) / 6

LCM(6000,1818) = 10908000 / 6

LCM(6000,1818) = 1818000


Lets's calculate GCF of 86,754

2 86, 754
43, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1818000/2

Therefore the LCM of Fractions 6000/86,1818/754 is 909000

Greatest Common Factor of 86,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,754 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 86,754 . The biggest common factor number is the GCF number.
So the greatest common factor 86,754 is 2.


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 6000/86, 1818/754

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 6000/86, 1818/754?

Answer: LCM of Numerators as per given numbers 6000/86, 1818/754 is

LCM of Numerators i.e. for 6000,1818 is 1818000

GCF of denominators i.e. for 86,754 is 2.

Thus, LCM of Fractions is 909000.Finally, LCM of Fractions for 6000/86, 1818/754 is 909000.