Least Common Multiple of 824/919, 127/290, 198/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/919, 127/290, 198/406 quickly i.e. 10360152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/919, 127/290, 198/406 is 10360152.

LCM(824/919, 127/290, 198/406) = 10360152

LCM of 824/919, 127/290, 198/406

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 824/919,127/290,198/406

Given numbers are 824/919,127/290,198/406

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 824,127,198

Least Common Multiple of Numerators i.e. LCM of 824,127,198 is 10360152.

GCF of Denominators means GCF of 919,290,406 as per the given fractions.

GCF of 919,290,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,127,198

LCM of Fractions 824/919,127/290,198/406 is 10360152

2 824, 127, 198
412, 127, 99

∴ So the LCM of the given numbers is 2 x 412 x 127 x 99 = 10360152

Least Common Multiple of 824,127,198 with GCF Formula

Least Common Multiple of 824,127,198 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 824,127,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,127,198) = 1

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

GCF(824,127,198) x common factors =1 x 2 = 2

LCM(824,127,198) = ( 824 × 127 × 198 ) / 2

LCM(824,127,198) = 20720304 / 2

LCM(824,127,198) = 10360152


Lets's calculate GCF of 919,290,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10360152/1

Therefore the LCM of Fractions 824/919,127/290,198/406 is 10360152

Greatest Common Factor of 919,290,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,290,406 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 919,290,406 . The biggest common factor number is the GCF number.
So the greatest common factor 919,290,406 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 824/919, 127/290, 198/406

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 824/919, 127/290, 198/406?

Answer: LCM of Numerators as per given numbers 824/919, 127/290, 198/406 is

LCM of Numerators i.e. for 824,127,198 is 10360152

GCF of denominators i.e. for 919,290,406 is 1.

Thus, LCM of Fractions is 10360152.Finally, LCM of Fractions for 824/919, 127/290, 198/406 is 10360152.