Least Common Multiple of 890/510, 1311/8490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 890/510, 1311/8490 quickly i.e. 38893 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 890/510, 1311/8490 is 38893.

LCM(890/510, 1311/8490) = 38893

LCM of 890/510, 1311/8490

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 890/510,1311/8490

Given numbers are 890/510,1311/8490

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 890,1311

Least Common Multiple of Numerators i.e. LCM of 890,1311 is 1166790.

GCF of Denominators means GCF of 510,8490 as per the given fractions.

GCF of 510,8490 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 890,1311

LCM of Fractions 890/510,1311/8490 is 38893

Given numbers has no common factors except 1. So, there LCM is their product i.e 1166790

Least Common Multiple of 890,1311 with GCF Formula

Least Common Multiple of 890,1311 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 890,1311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,1311) = 1

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

GCF(890,1311) x common factors =1 x 1 = 1

LCM(890,1311) = ( 890 × 1311 ) / 1

LCM(890,1311) = 1166790 / 1

LCM(890,1311) = 1166790


Lets's calculate GCF of 510,8490

2 510, 8490
3 255, 4245
5 85, 1415
17, 283

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1166790/30

Therefore the LCM of Fractions 890/510,1311/8490 is 38893

Greatest Common Factor of 510,8490 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,8490 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 8490

List of positive integer factors of 8490 that divides 8490 without a remainder.

1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490

Greatest Common Factor

We found the factors 510,8490 . The biggest common factor number is the GCF number.
So the greatest common factor 510,8490 is 30.


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 890/510, 1311/8490

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 890/510, 1311/8490?

Answer: LCM of Numerators as per given numbers 890/510, 1311/8490 is

LCM of Numerators i.e. for 890,1311 is 1166790

GCF of denominators i.e. for 510,8490 is 30.

Thus, LCM of Fractions is 38893.Finally, LCM of Fractions for 890/510, 1311/8490 is 38893.