Least Common Multiple of 362/278, 286/802, 468/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/278, 286/802, 468/273 quickly i.e. 931788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/278, 286/802, 468/273 is 931788.

LCM(362/278, 286/802, 468/273) = 931788

LCM of 362/278, 286/802, 468/273

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 362/278,286/802,468/273

Given numbers are 362/278,286/802,468/273

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 362,286,468

Least Common Multiple of Numerators i.e. LCM of 362,286,468 is 931788.

GCF of Denominators means GCF of 278,802,273 as per the given fractions.

GCF of 278,802,273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,286,468

LCM of Fractions 362/278,286/802,468/273 is 931788

2 362, 286, 468
13 181, 143, 234
181, 11, 18

∴ So the LCM of the given numbers is 2 x 13 x 181 x 11 x 18 = 931788

Least Common Multiple of 362,286,468 with GCF Formula

Least Common Multiple of 362,286,468 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 362,286,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,286,468) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(362,286,468) x common factors =2 x 26 = 52

LCM(362,286,468) = ( 362 × 286 × 468 ) / 52

LCM(362,286,468) = 48452976 / 52

LCM(362,286,468) = 931788


Lets's calculate GCF of 278,802,273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 931788/1

Therefore the LCM of Fractions 362/278,286/802,468/273 is 931788

Greatest Common Factor of 278,802,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,802,273 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 278,802,273 . The biggest common factor number is the GCF number.
So the greatest common factor 278,802,273 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 362/278, 286/802, 468/273

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 362/278, 286/802, 468/273?

Answer: LCM of Numerators as per given numbers 362/278, 286/802, 468/273 is

LCM of Numerators i.e. for 362,286,468 is 931788

GCF of denominators i.e. for 278,802,273 is 1.

Thus, LCM of Fractions is 931788.Finally, LCM of Fractions for 362/278, 286/802, 468/273 is 931788.