Least Common Multiple of 218/530, 396/699, 222/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/530, 396/699, 222/114 quickly i.e. 1597068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/530, 396/699, 222/114 is 1597068.

LCM(218/530, 396/699, 222/114) = 1597068

LCM of 218/530, 396/699, 222/114

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 218/530,396/699,222/114

Given numbers are 218/530,396/699,222/114

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 218,396,222

Least Common Multiple of Numerators i.e. LCM of 218,396,222 is 1597068.

GCF of Denominators means GCF of 530,699,114 as per the given fractions.

GCF of 530,699,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,396,222

LCM of Fractions 218/530,396/699,222/114 is 1597068

2 218, 396, 222
3 109, 198, 111
109, 66, 37

∴ So the LCM of the given numbers is 2 x 3 x 109 x 66 x 37 = 1597068

Least Common Multiple of 218,396,222 with GCF Formula

Least Common Multiple of 218,396,222 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 218,396,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,396,222) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(218,396,222) x common factors =2 x 6 = 12

LCM(218,396,222) = ( 218 × 396 × 222 ) / 12

LCM(218,396,222) = 19164816 / 12

LCM(218,396,222) = 1597068


Lets's calculate GCF of 530,699,114

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1597068/1

Therefore the LCM of Fractions 218/530,396/699,222/114 is 1597068

Greatest Common Factor of 530,699,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,699,114 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 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 530,699,114 . The biggest common factor number is the GCF number.
So the greatest common factor 530,699,114 is 1.


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 218/530, 396/699, 222/114

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 218/530, 396/699, 222/114?

Answer: LCM of Numerators as per given numbers 218/530, 396/699, 222/114 is

LCM of Numerators i.e. for 218,396,222 is 1597068

GCF of denominators i.e. for 530,699,114 is 1.

Thus, LCM of Fractions is 1597068.Finally, LCM of Fractions for 218/530, 396/699, 222/114 is 1597068.