Least Common Multiple of 529/70, 230/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 529/70, 230/284 quickly i.e. 2645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 529/70, 230/284 is 2645.

LCM(529/70, 230/284) = 2645

LCM of 529/70, 230/284

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 529/70,230/284

Given numbers are 529/70,230/284

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 529,230

Least Common Multiple of Numerators i.e. LCM of 529,230 is 5290.

GCF of Denominators means GCF of 70,284 as per the given fractions.

GCF of 70,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 529,230

LCM of Fractions 529/70,230/284 is 2645

23 529, 230
23, 10

∴ So the LCM of the given numbers is 23 x 23 x 10 = 5290

Least Common Multiple of 529,230 with GCF Formula

Least Common Multiple of 529,230 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 529,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,230) = 23

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

GCF(529,230) x common factors =23 x 1 = 23

LCM(529,230) = ( 529 × 230 ) / 23

LCM(529,230) = 121670 / 23

LCM(529,230) = 5290


Lets's calculate GCF of 70,284

2 70, 284
35, 142

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5290/2

Therefore the LCM of Fractions 529/70,230/284 is 2645

Greatest Common Factor of 70,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,284 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 70,284 . The biggest common factor number is the GCF number.
So the greatest common factor 70,284 is 2.


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 529/70, 230/284

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 529/70, 230/284?

Answer: LCM of Numerators as per given numbers 529/70, 230/284 is

LCM of Numerators i.e. for 529,230 is 5290

GCF of denominators i.e. for 70,284 is 2.

Thus, LCM of Fractions is 2645.Finally, LCM of Fractions for 529/70, 230/284 is 2645.