Least Common Multiple of 198/804, 624/850, 882/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/804, 624/850, 882/646 quickly i.e. 504504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/804, 624/850, 882/646 is 504504.

LCM(198/804, 624/850, 882/646) = 504504

LCM of 198/804, 624/850, 882/646

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 198/804,624/850,882/646

Given numbers are 198/804,624/850,882/646

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 198,624,882

Least Common Multiple of Numerators i.e. LCM of 198,624,882 is 1009008.

GCF of Denominators means GCF of 804,850,646 as per the given fractions.

GCF of 804,850,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,624,882

LCM of Fractions 198/804,624/850,882/646 is 504504

2 198, 624, 882
3 99, 312, 441
3 33, 104, 147
11, 104, 49

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 104 x 49 = 1009008

Least Common Multiple of 198,624,882 with GCF Formula

Least Common Multiple of 198,624,882 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 198,624,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,624,882) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(198,624,882) x common factors =6 x 18 = 108

LCM(198,624,882) = ( 198 × 624 × 882 ) / 108

LCM(198,624,882) = 108972864 / 108

LCM(198,624,882) = 1009008


Lets's calculate GCF of 804,850,646

2 804, 850, 646
402, 425, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1009008/2

Therefore the LCM of Fractions 198/804,624/850,882/646 is 504504

Greatest Common Factor of 804,850,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,850,646 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 804,850,646 . The biggest common factor number is the GCF number.
So the greatest common factor 804,850,646 is 2.


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 198/804, 624/850, 882/646

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 198/804, 624/850, 882/646?

Answer: LCM of Numerators as per given numbers 198/804, 624/850, 882/646 is

LCM of Numerators i.e. for 198,624,882 is 1009008

GCF of denominators i.e. for 804,850,646 is 2.

Thus, LCM of Fractions is 504504.Finally, LCM of Fractions for 198/804, 624/850, 882/646 is 504504.