Least Common Multiple of 469/140, 6750/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/140, 6750/259 quickly i.e. 452250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/140, 6750/259 is 452250.

LCM(469/140, 6750/259) = 452250

LCM of 469/140, 6750/259

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 469/140,6750/259

Given numbers are 469/140,6750/259

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 469,6750

Least Common Multiple of Numerators i.e. LCM of 469,6750 is 3165750.

GCF of Denominators means GCF of 140,259 as per the given fractions.

GCF of 140,259 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,6750

LCM of Fractions 469/140,6750/259 is 452250

Given numbers has no common factors except 1. So, there LCM is their product i.e 3165750

Least Common Multiple of 469,6750 with GCF Formula

Least Common Multiple of 469,6750 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 469,6750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,6750) = 1

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

GCF(469,6750) x common factors =1 x 1 = 1

LCM(469,6750) = ( 469 × 6750 ) / 1

LCM(469,6750) = 3165750 / 1

LCM(469,6750) = 3165750


Lets's calculate GCF of 140,259

7 140, 259
20, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3165750/7

Therefore the LCM of Fractions 469/140,6750/259 is 452250

Greatest Common Factor of 140,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,259 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 140,259 . The biggest common factor number is the GCF number.
So the greatest common factor 140,259 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 469/140, 6750/259

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 469/140, 6750/259?

Answer: LCM of Numerators as per given numbers 469/140, 6750/259 is

LCM of Numerators i.e. for 469,6750 is 3165750

GCF of denominators i.e. for 140,259 is 7.

Thus, LCM of Fractions is 452250.Finally, LCM of Fractions for 469/140, 6750/259 is 452250.