Least Common Multiple of 22/203, 562/378, 299/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/203, 562/378, 299/142 quickly i.e. 1848418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/203, 562/378, 299/142 is 1848418.

LCM(22/203, 562/378, 299/142) = 1848418

LCM of 22/203, 562/378, 299/142

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 22/203,562/378,299/142

Given numbers are 22/203,562/378,299/142

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 22,562,299

Least Common Multiple of Numerators i.e. LCM of 22,562,299 is 1848418.

GCF of Denominators means GCF of 203,378,142 as per the given fractions.

GCF of 203,378,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,562,299

LCM of Fractions 22/203,562/378,299/142 is 1848418

2 22, 562, 299
11, 281, 299

∴ So the LCM of the given numbers is 2 x 11 x 281 x 299 = 1848418

Least Common Multiple of 22,562,299 with GCF Formula

Least Common Multiple of 22,562,299 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 22,562,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,562,299) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,562,299) x common factors =1 x 2 = 2

LCM(22,562,299) = ( 22 × 562 × 299 ) / 2

LCM(22,562,299) = 3696836 / 2

LCM(22,562,299) = 1848418


Lets's calculate GCF of 203,378,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1848418/1

Therefore the LCM of Fractions 22/203,562/378,299/142 is 1848418

Greatest Common Factor of 203,378,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,378,142 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 203,378,142 . The biggest common factor number is the GCF number.
So the greatest common factor 203,378,142 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 22/203, 562/378, 299/142

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 22/203, 562/378, 299/142?

Answer: LCM of Numerators as per given numbers 22/203, 562/378, 299/142 is

LCM of Numerators i.e. for 22,562,299 is 1848418

GCF of denominators i.e. for 203,378,142 is 1.

Thus, LCM of Fractions is 1848418.Finally, LCM of Fractions for 22/203, 562/378, 299/142 is 1848418.