Least Common Multiple of 253/85, 230/8280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/85, 230/8280 quickly i.e. 506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/85, 230/8280 is 506.

LCM(253/85, 230/8280) = 506

LCM of 253/85, 230/8280

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 253/85,230/8280

Given numbers are 253/85,230/8280

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 253,230

Least Common Multiple of Numerators i.e. LCM of 253,230 is 2530.

GCF of Denominators means GCF of 85,8280 as per the given fractions.

GCF of 85,8280 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,230

LCM of Fractions 253/85,230/8280 is 506

23 253, 230
11, 10

∴ So the LCM of the given numbers is 23 x 11 x 10 = 2530

Least Common Multiple of 253,230 with GCF Formula

Least Common Multiple of 253,230 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 253,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,230) = 23

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

GCF(253,230) x common factors =23 x 1 = 23

LCM(253,230) = ( 253 × 230 ) / 23

LCM(253,230) = 58190 / 23

LCM(253,230) = 2530


Lets's calculate GCF of 85,8280

5 85, 8280
17, 1656

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2530/5

Therefore the LCM of Fractions 253/85,230/8280 is 506

Greatest Common Factor of 85,8280 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,8280 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280

Greatest Common Factor

We found the factors 85,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 85,8280 is 5.


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 253/85, 230/8280

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 253/85, 230/8280?

Answer: LCM of Numerators as per given numbers 253/85, 230/8280 is

LCM of Numerators i.e. for 253,230 is 2530

GCF of denominators i.e. for 85,8280 is 5.

Thus, LCM of Fractions is 506.Finally, LCM of Fractions for 253/85, 230/8280 is 506.