Least Common Multiple of 86/18, 62/98, 580/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/18, 62/98, 580/524 quickly i.e. 386570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/18, 62/98, 580/524 is 386570.

LCM(86/18, 62/98, 580/524) = 386570

LCM of 86/18, 62/98, 580/524

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 86/18,62/98,580/524

Given numbers are 86/18,62/98,580/524

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 86,62,580

Least Common Multiple of Numerators i.e. LCM of 86,62,580 is 773140.

GCF of Denominators means GCF of 18,98,524 as per the given fractions.

GCF of 18,98,524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,62,580

LCM of Fractions 86/18,62/98,580/524 is 386570

2 86, 62, 580
43, 31, 290

∴ So the LCM of the given numbers is 2 x 43 x 31 x 290 = 773140

Least Common Multiple of 86,62,580 with GCF Formula

Least Common Multiple of 86,62,580 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 86,62,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,62,580) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(86,62,580) x common factors =2 x 2 = 4

LCM(86,62,580) = ( 86 × 62 × 580 ) / 4

LCM(86,62,580) = 3092560 / 4

LCM(86,62,580) = 773140


Lets's calculate GCF of 18,98,524

2 18, 98, 524
9, 49, 262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 773140/2

Therefore the LCM of Fractions 86/18,62/98,580/524 is 386570

Greatest Common Factor of 18,98,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,98,524 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 18,98,524 . The biggest common factor number is the GCF number.
So the greatest common factor 18,98,524 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/18, 62/98, 580/524

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 86/18, 62/98, 580/524?

Answer: LCM of Numerators as per given numbers 86/18, 62/98, 580/524 is

LCM of Numerators i.e. for 86,62,580 is 773140

GCF of denominators i.e. for 18,98,524 is 2.

Thus, LCM of Fractions is 386570.Finally, LCM of Fractions for 86/18, 62/98, 580/524 is 386570.