Least Common Multiple of 109/804, 269/356, 305/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/804, 269/356, 305/925 quickly i.e. 8942905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/804, 269/356, 305/925 is 8942905.

LCM(109/804, 269/356, 305/925) = 8942905

LCM of 109/804, 269/356, 305/925

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 109/804,269/356,305/925

Given numbers are 109/804,269/356,305/925

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 109,269,305

Least Common Multiple of Numerators i.e. LCM of 109,269,305 is 8942905.

GCF of Denominators means GCF of 804,356,925 as per the given fractions.

GCF of 804,356,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,269,305

LCM of Fractions 109/804,269/356,305/925 is 8942905

Given numbers has no common factors except 1. So, there LCM is their product i.e 8942905

Least Common Multiple of 109,269,305 with GCF Formula

Least Common Multiple of 109,269,305 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 109,269,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,269,305) = 1

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

GCF(109,269,305) x common factors =1 x 1 = 1

LCM(109,269,305) = ( 109 × 269 × 305 ) / 1

LCM(109,269,305) = 8942905 / 1

LCM(109,269,305) = 8942905


Lets's calculate GCF of 804,356,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8942905/1

Therefore the LCM of Fractions 109/804,269/356,305/925 is 8942905

Greatest Common Factor of 804,356,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,356,925 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 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 804,356,925 . The biggest common factor number is the GCF number.
So the greatest common factor 804,356,925 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 109/804, 269/356, 305/925

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 109/804, 269/356, 305/925?

Answer: LCM of Numerators as per given numbers 109/804, 269/356, 305/925 is

LCM of Numerators i.e. for 109,269,305 is 8942905

GCF of denominators i.e. for 804,356,925 is 1.

Thus, LCM of Fractions is 8942905.Finally, LCM of Fractions for 109/804, 269/356, 305/925 is 8942905.