Least Common Multiple of 900/308, 773/155, 842/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/308, 773/155, 842/204 quickly i.e. 292889700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/308, 773/155, 842/204 is 292889700.

LCM(900/308, 773/155, 842/204) = 292889700

LCM of 900/308, 773/155, 842/204

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 900/308,773/155,842/204

Given numbers are 900/308,773/155,842/204

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 900,773,842

Least Common Multiple of Numerators i.e. LCM of 900,773,842 is 292889700.

GCF of Denominators means GCF of 308,155,204 as per the given fractions.

GCF of 308,155,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,773,842

LCM of Fractions 900/308,773/155,842/204 is 292889700

2 900, 773, 842
450, 773, 421

∴ So the LCM of the given numbers is 2 x 450 x 773 x 421 = 292889700

Least Common Multiple of 900,773,842 with GCF Formula

Least Common Multiple of 900,773,842 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 900,773,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,773,842) = 1

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

GCF(900,773,842) x common factors =1 x 2 = 2

LCM(900,773,842) = ( 900 × 773 × 842 ) / 2

LCM(900,773,842) = 585779400 / 2

LCM(900,773,842) = 292889700


Lets's calculate GCF of 308,155,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292889700/1

Therefore the LCM of Fractions 900/308,773/155,842/204 is 292889700

Greatest Common Factor of 308,155,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,155,204 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 308,155,204 . The biggest common factor number is the GCF number.
So the greatest common factor 308,155,204 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 900/308, 773/155, 842/204

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 900/308, 773/155, 842/204?

Answer: LCM of Numerators as per given numbers 900/308, 773/155, 842/204 is

LCM of Numerators i.e. for 900,773,842 is 292889700

GCF of denominators i.e. for 308,155,204 is 1.

Thus, LCM of Fractions is 292889700.Finally, LCM of Fractions for 900/308, 773/155, 842/204 is 292889700.