Least Common Multiple of 223/417, 378/986, 468/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 223/417, 378/986, 468/498 quickly i.e. 2191644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/417, 378/986, 468/498 is 2191644.

LCM(223/417, 378/986, 468/498) = 2191644

LCM of 223/417, 378/986, 468/498

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 223/417,378/986,468/498

Given numbers are 223/417,378/986,468/498

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 223,378,468

Least Common Multiple of Numerators i.e. LCM of 223,378,468 is 2191644.

GCF of Denominators means GCF of 417,986,498 as per the given fractions.

GCF of 417,986,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,378,468

LCM of Fractions 223/417,378/986,468/498 is 2191644

2 223, 378, 468
3 223, 189, 234
3 223, 63, 78
223, 21, 26

∴ So the LCM of the given numbers is 2 x 3 x 3 x 223 x 21 x 26 = 2191644

Least Common Multiple of 223,378,468 with GCF Formula

Least Common Multiple of 223,378,468 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 223,378,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,378,468) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(223,378,468) x common factors =1 x 18 = 18

LCM(223,378,468) = ( 223 × 378 × 468 ) / 18

LCM(223,378,468) = 39449592 / 18

LCM(223,378,468) = 2191644


Lets's calculate GCF of 417,986,498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2191644/1

Therefore the LCM of Fractions 223/417,378/986,468/498 is 2191644

Greatest Common Factor of 417,986,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,986,498 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 417,986,498 . The biggest common factor number is the GCF number.
So the greatest common factor 417,986,498 is 1.


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 223/417, 378/986, 468/498

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 223/417, 378/986, 468/498?

Answer: LCM of Numerators as per given numbers 223/417, 378/986, 468/498 is

LCM of Numerators i.e. for 223,378,468 is 2191644

GCF of denominators i.e. for 417,986,498 is 1.

Thus, LCM of Fractions is 2191644.Finally, LCM of Fractions for 223/417, 378/986, 468/498 is 2191644.