Least Common Multiple of 850/544, 9900/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 850/544, 9900/304 quickly i.e. 168300/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 850/544, 9900/304 is 168300/16.

LCM(850/544, 9900/304) = 168300/16

LCM of 850/544, 9900/304

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 850/544,9900/304

Given numbers are 850/544,9900/304

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 850,9900

Least Common Multiple of Numerators i.e. LCM of 850,9900 is 168300.

GCF of Denominators means GCF of 544,304 as per the given fractions.

GCF of 544,304 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 850,9900

LCM of Fractions 850/544,9900/304 is 168300/16

2 850, 9900
5 425, 4950
5 85, 990
17, 198

∴ So the LCM of the given numbers is 2 x 5 x 5 x 17 x 198 = 168300

Least Common Multiple of 850,9900 with GCF Formula

Least Common Multiple of 850,9900 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 850,9900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,9900) = 50

common factors(in case of two or more numbers have common factors) = 1

GCF(850,9900) x common factors =50 x 1 = 50

LCM(850,9900) = ( 850 × 9900 ) / 50

LCM(850,9900) = 8415000 / 50

LCM(850,9900) = 168300


Lets's calculate GCF of 544,304

2 544, 304
2 272, 152
2 136, 76
2 68, 38
34, 19

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168300/16

Therefore the LCM of Fractions 850/544,9900/304 is 168300/16

Greatest Common Factor of 544,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,304 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 544,304 . The biggest common factor number is the GCF number.
So the greatest common factor 544,304 is 16.


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 850/544, 9900/304

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 850/544, 9900/304?

Answer: LCM of Numerators as per given numbers 850/544, 9900/304 is

LCM of Numerators i.e. for 850,9900 is 168300

GCF of denominators i.e. for 544,304 is 16.

Thus, LCM of Fractions is 168300/16.Finally, LCM of Fractions for 850/544, 9900/304 is 168300/16.