Least Common Multiple of 250/31, 489/7087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 250/31, 489/7087 quickly i.e. 122250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 250/31, 489/7087 is 122250.

LCM(250/31, 489/7087) = 122250

LCM of 250/31, 489/7087

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 250/31,489/7087

Given numbers are 250/31,489/7087

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 250,489

Least Common Multiple of Numerators i.e. LCM of 250,489 is 122250.

GCF of Denominators means GCF of 31,7087 as per the given fractions.

GCF of 31,7087 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 250,489

LCM of Fractions 250/31,489/7087 is 122250

Given numbers has no common factors except 1. So, there LCM is their product i.e 122250

Least Common Multiple of 250,489 with GCF Formula

Least Common Multiple of 250,489 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 250,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,489) = 1

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

GCF(250,489) x common factors =1 x 1 = 1

LCM(250,489) = ( 250 × 489 ) / 1

LCM(250,489) = 122250 / 1

LCM(250,489) = 122250


Lets's calculate GCF of 31,7087

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122250/1

Therefore the LCM of Fractions 250/31,489/7087 is 122250

Greatest Common Factor of 31,7087 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,7087 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 7087

List of positive integer factors of 7087 that divides 7087 without a remainder.

1,19,373,7087

Greatest Common Factor

We found the factors 31,7087 . The biggest common factor number is the GCF number.
So the greatest common factor 31,7087 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 250/31, 489/7087

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 250/31, 489/7087?

Answer: LCM of Numerators as per given numbers 250/31, 489/7087 is

LCM of Numerators i.e. for 250,489 is 122250

GCF of denominators i.e. for 31,7087 is 1.

Thus, LCM of Fractions is 122250.Finally, LCM of Fractions for 250/31, 489/7087 is 122250.