Least Common Multiple of 292/427, 200/483, 286/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 292/427, 200/483, 286/318 quickly i.e. 2087800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/427, 200/483, 286/318 is 2087800.

LCM(292/427, 200/483, 286/318) = 2087800

LCM of 292/427, 200/483, 286/318

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 292/427,200/483,286/318

Given numbers are 292/427,200/483,286/318

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 292,200,286

Least Common Multiple of Numerators i.e. LCM of 292,200,286 is 2087800.

GCF of Denominators means GCF of 427,483,318 as per the given fractions.

GCF of 427,483,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,200,286

LCM of Fractions 292/427,200/483,286/318 is 2087800

2 292, 200, 286
2 146, 100, 143
73, 50, 143

∴ So the LCM of the given numbers is 2 x 2 x 73 x 50 x 143 = 2087800

Least Common Multiple of 292,200,286 with GCF Formula

Least Common Multiple of 292,200,286 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 292,200,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,200,286) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(292,200,286) x common factors =2 x 4 = 8

LCM(292,200,286) = ( 292 × 200 × 286 ) / 8

LCM(292,200,286) = 16702400 / 8

LCM(292,200,286) = 2087800


Lets's calculate GCF of 427,483,318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2087800/1

Therefore the LCM of Fractions 292/427,200/483,286/318 is 2087800

Greatest Common Factor of 427,483,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,483,318 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 427,483,318 . The biggest common factor number is the GCF number.
So the greatest common factor 427,483,318 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 292/427, 200/483, 286/318

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 292/427, 200/483, 286/318?

Answer: LCM of Numerators as per given numbers 292/427, 200/483, 286/318 is

LCM of Numerators i.e. for 292,200,286 is 2087800

GCF of denominators i.e. for 427,483,318 is 1.

Thus, LCM of Fractions is 2087800.Finally, LCM of Fractions for 292/427, 200/483, 286/318 is 2087800.