Least Common Multiple of 98/450, 450/774, 186/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/450, 450/774, 186/279 quickly i.e. 75950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/450, 450/774, 186/279 is 75950.

LCM(98/450, 450/774, 186/279) = 75950

LCM of 98/450, 450/774, 186/279

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 98/450,450/774,186/279

Given numbers are 98/450,450/774,186/279

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 98,450,186

Least Common Multiple of Numerators i.e. LCM of 98,450,186 is 683550.

GCF of Denominators means GCF of 450,774,279 as per the given fractions.

GCF of 450,774,279 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,450,186

LCM of Fractions 98/450,450/774,186/279 is 75950

2 98, 450, 186
3 49, 225, 93
49, 75, 31

∴ So the LCM of the given numbers is 2 x 3 x 49 x 75 x 31 = 683550

Least Common Multiple of 98,450,186 with GCF Formula

Least Common Multiple of 98,450,186 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 98,450,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,450,186) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(98,450,186) x common factors =2 x 6 = 12

LCM(98,450,186) = ( 98 × 450 × 186 ) / 12

LCM(98,450,186) = 8202600 / 12

LCM(98,450,186) = 683550


Lets's calculate GCF of 450,774,279

3 450, 774, 279
3 150, 258, 93
50, 86, 31

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683550/9

Therefore the LCM of Fractions 98/450,450/774,186/279 is 75950

Greatest Common Factor of 450,774,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,774,279 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 450,774,279 . The biggest common factor number is the GCF number.
So the greatest common factor 450,774,279 is 9.


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 98/450, 450/774, 186/279

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 98/450, 450/774, 186/279?

Answer: LCM of Numerators as per given numbers 98/450, 450/774, 186/279 is

LCM of Numerators i.e. for 98,450,186 is 683550

GCF of denominators i.e. for 450,774,279 is 9.

Thus, LCM of Fractions is 75950.Finally, LCM of Fractions for 98/450, 450/774, 186/279 is 75950.