Least Common Multiple of 490/58, 999/1015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/58, 999/1015 quickly i.e. 489510/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/58, 999/1015 is 489510/29.

LCM(490/58, 999/1015) = 489510/29

LCM of 490/58, 999/1015

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 490/58,999/1015

Given numbers are 490/58,999/1015

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 490,999

Least Common Multiple of Numerators i.e. LCM of 490,999 is 489510.

GCF of Denominators means GCF of 58,1015 as per the given fractions.

GCF of 58,1015 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,999

LCM of Fractions 490/58,999/1015 is 489510/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 489510

Least Common Multiple of 490,999 with GCF Formula

Least Common Multiple of 490,999 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 490,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,999) = 1

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

GCF(490,999) x common factors =1 x 1 = 1

LCM(490,999) = ( 490 × 999 ) / 1

LCM(490,999) = 489510 / 1

LCM(490,999) = 489510


Lets's calculate GCF of 58,1015

29 58, 1015
2, 35

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489510/29

Therefore the LCM of Fractions 490/58,999/1015 is 489510/29

Greatest Common Factor of 58,1015 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,1015 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 1015

List of positive integer factors of 1015 that divides 1015 without a remainder.

1,5,7,29,35,145,203,1015

Greatest Common Factor

We found the factors 58,1015 . The biggest common factor number is the GCF number.
So the greatest common factor 58,1015 is 29.


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 490/58, 999/1015

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 490/58, 999/1015?

Answer: LCM of Numerators as per given numbers 490/58, 999/1015 is

LCM of Numerators i.e. for 490,999 is 489510

GCF of denominators i.e. for 58,1015 is 29.

Thus, LCM of Fractions is 489510/29.Finally, LCM of Fractions for 490/58, 999/1015 is 489510/29.