Least Common Multiple of 244/49, 214/82, 706/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 244/49, 214/82, 706/900 quickly i.e. 9216124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 244/49, 214/82, 706/900 is 9216124.

LCM(244/49, 214/82, 706/900) = 9216124

LCM of 244/49, 214/82, 706/900

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 244/49,214/82,706/900

Given numbers are 244/49,214/82,706/900

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 244,214,706

Least Common Multiple of Numerators i.e. LCM of 244,214,706 is 9216124.

GCF of Denominators means GCF of 49,82,900 as per the given fractions.

GCF of 49,82,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 244,214,706

LCM of Fractions 244/49,214/82,706/900 is 9216124

2 244, 214, 706
122, 107, 353

∴ So the LCM of the given numbers is 2 x 122 x 107 x 353 = 9216124

Least Common Multiple of 244,214,706 with GCF Formula

Least Common Multiple of 244,214,706 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 244,214,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,214,706) = 2

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

GCF(244,214,706) x common factors =2 x 2 = 4

LCM(244,214,706) = ( 244 × 214 × 706 ) / 4

LCM(244,214,706) = 36864496 / 4

LCM(244,214,706) = 9216124


Lets's calculate GCF of 49,82,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9216124/1

Therefore the LCM of Fractions 244/49,214/82,706/900 is 9216124

Greatest Common Factor of 49,82,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,82,900 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 49,82,900 . The biggest common factor number is the GCF number.
So the greatest common factor 49,82,900 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 244/49, 214/82, 706/900

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 244/49, 214/82, 706/900?

Answer: LCM of Numerators as per given numbers 244/49, 214/82, 706/900 is

LCM of Numerators i.e. for 244,214,706 is 9216124

GCF of denominators i.e. for 49,82,900 is 1.

Thus, LCM of Fractions is 9216124.Finally, LCM of Fractions for 244/49, 214/82, 706/900 is 9216124.