Least Common Multiple of 144/43, 986/6700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/43, 986/6700 quickly i.e. 70992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/43, 986/6700 is 70992.

LCM(144/43, 986/6700) = 70992

LCM of 144/43, 986/6700

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 144/43,986/6700

Given numbers are 144/43,986/6700

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 144,986

Least Common Multiple of Numerators i.e. LCM of 144,986 is 70992.

GCF of Denominators means GCF of 43,6700 as per the given fractions.

GCF of 43,6700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,986

LCM of Fractions 144/43,986/6700 is 70992

2 144, 986
72, 493

∴ So the LCM of the given numbers is 2 x 72 x 493 = 70992

Least Common Multiple of 144,986 with GCF Formula

Least Common Multiple of 144,986 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 144,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,986) = 2

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

GCF(144,986) x common factors =2 x 1 = 2

LCM(144,986) = ( 144 × 986 ) / 2

LCM(144,986) = 141984 / 2

LCM(144,986) = 70992


Lets's calculate GCF of 43,6700

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70992/1

Therefore the LCM of Fractions 144/43,986/6700 is 70992

Greatest Common Factor of 43,6700 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,6700 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 6700

List of positive integer factors of 6700 that divides 6700 without a remainder.

1,2,4,5,10,20,25,50,67,100,134,268,335,670,1340,1675,3350,6700

Greatest Common Factor

We found the factors 43,6700 . The biggest common factor number is the GCF number.
So the greatest common factor 43,6700 is 1.


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 144/43, 986/6700

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 144/43, 986/6700?

Answer: LCM of Numerators as per given numbers 144/43, 986/6700 is

LCM of Numerators i.e. for 144,986 is 70992

GCF of denominators i.e. for 43,6700 is 1.

Thus, LCM of Fractions is 70992.Finally, LCM of Fractions for 144/43, 986/6700 is 70992.