Least Common Multiple of 22/200, 208/996, 417/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/200, 208/996, 417/848 quickly i.e. 238524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/200, 208/996, 417/848 is 238524.

LCM(22/200, 208/996, 417/848) = 238524

LCM of 22/200, 208/996, 417/848

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 22/200,208/996,417/848

Given numbers are 22/200,208/996,417/848

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 22,208,417

Least Common Multiple of Numerators i.e. LCM of 22,208,417 is 954096.

GCF of Denominators means GCF of 200,996,848 as per the given fractions.

GCF of 200,996,848 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,208,417

LCM of Fractions 22/200,208/996,417/848 is 238524

2 22, 208, 417
11, 104, 417

∴ So the LCM of the given numbers is 2 x 11 x 104 x 417 = 954096

Least Common Multiple of 22,208,417 with GCF Formula

Least Common Multiple of 22,208,417 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 22,208,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,208,417) = 1

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

GCF(22,208,417) x common factors =1 x 2 = 2

LCM(22,208,417) = ( 22 × 208 × 417 ) / 2

LCM(22,208,417) = 1908192 / 2

LCM(22,208,417) = 954096


Lets's calculate GCF of 200,996,848

2 200, 996, 848
2 100, 498, 424
50, 249, 212

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 954096/4

Therefore the LCM of Fractions 22/200,208/996,417/848 is 238524

Greatest Common Factor of 200,996,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,996,848 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 200,996,848 . The biggest common factor number is the GCF number.
So the greatest common factor 200,996,848 is 4.


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 22/200, 208/996, 417/848

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 22/200, 208/996, 417/848?

Answer: LCM of Numerators as per given numbers 22/200, 208/996, 417/848 is

LCM of Numerators i.e. for 22,208,417 is 954096

GCF of denominators i.e. for 200,996,848 is 4.

Thus, LCM of Fractions is 238524.Finally, LCM of Fractions for 22/200, 208/996, 417/848 is 238524.