Least Common Multiple of 221/530, 182/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 221/530, 182/862 quickly i.e. 1547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/530, 182/862 is 1547.

LCM(221/530, 182/862) = 1547

LCM of 221/530, 182/862

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 221/530,182/862

Given numbers are 221/530,182/862

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 221,182

Least Common Multiple of Numerators i.e. LCM of 221,182 is 3094.

GCF of Denominators means GCF of 530,862 as per the given fractions.

GCF of 530,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,182

LCM of Fractions 221/530,182/862 is 1547

13 221, 182
17, 14

∴ So the LCM of the given numbers is 13 x 17 x 14 = 3094

Least Common Multiple of 221,182 with GCF Formula

Least Common Multiple of 221,182 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 221,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,182) = 13

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

GCF(221,182) x common factors =13 x 1 = 13

LCM(221,182) = ( 221 × 182 ) / 13

LCM(221,182) = 40222 / 13

LCM(221,182) = 3094


Lets's calculate GCF of 530,862

2 530, 862
265, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3094/2

Therefore the LCM of Fractions 221/530,182/862 is 1547

Greatest Common Factor of 530,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,862 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 530,862 . The biggest common factor number is the GCF number.
So the greatest common factor 530,862 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 221/530, 182/862

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 221/530, 182/862?

Answer: LCM of Numerators as per given numbers 221/530, 182/862 is

LCM of Numerators i.e. for 221,182 is 3094

GCF of denominators i.e. for 530,862 is 2.

Thus, LCM of Fractions is 1547.Finally, LCM of Fractions for 221/530, 182/862 is 1547.