Least Common Multiple of 530/72, 206/9870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/72, 206/9870 quickly i.e. 54590/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/72, 206/9870 is 54590/6.

LCM(530/72, 206/9870) = 54590/6

LCM of 530/72, 206/9870

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 530/72,206/9870

Given numbers are 530/72,206/9870

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 530,206

Least Common Multiple of Numerators i.e. LCM of 530,206 is 54590.

GCF of Denominators means GCF of 72,9870 as per the given fractions.

GCF of 72,9870 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,206

LCM of Fractions 530/72,206/9870 is 54590/6

2 530, 206
265, 103

∴ So the LCM of the given numbers is 2 x 265 x 103 = 54590

Least Common Multiple of 530,206 with GCF Formula

Least Common Multiple of 530,206 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 530,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,206) = 2

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

GCF(530,206) x common factors =2 x 1 = 2

LCM(530,206) = ( 530 × 206 ) / 2

LCM(530,206) = 109180 / 2

LCM(530,206) = 54590


Lets's calculate GCF of 72,9870

2 72, 9870
3 36, 4935
12, 1645

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54590/6

Therefore the LCM of Fractions 530/72,206/9870 is 54590/6

Greatest Common Factor of 72,9870 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,9870 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 9870

List of positive integer factors of 9870 that divides 9870 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870

Greatest Common Factor

We found the factors 72,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 72,9870 is 6.


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 530/72, 206/9870

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 530/72, 206/9870?

Answer: LCM of Numerators as per given numbers 530/72, 206/9870 is

LCM of Numerators i.e. for 530,206 is 54590

GCF of denominators i.e. for 72,9870 is 6.

Thus, LCM of Fractions is 54590/6.Finally, LCM of Fractions for 530/72, 206/9870 is 54590/6.