Least Common Multiple of 44/44, 104/93, 305/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/44, 104/93, 305/474 quickly i.e. 348920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/44, 104/93, 305/474 is 348920.

LCM(44/44, 104/93, 305/474) = 348920

LCM of 44/44, 104/93, 305/474

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 44/44,104/93,305/474

Given numbers are 44/44,104/93,305/474

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 44,104,305

Least Common Multiple of Numerators i.e. LCM of 44,104,305 is 348920.

GCF of Denominators means GCF of 44,93,474 as per the given fractions.

GCF of 44,93,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,104,305

LCM of Fractions 44/44,104/93,305/474 is 348920

2 44, 104, 305
2 22, 52, 305
11, 26, 305

∴ So the LCM of the given numbers is 2 x 2 x 11 x 26 x 305 = 348920

Least Common Multiple of 44,104,305 with GCF Formula

Least Common Multiple of 44,104,305 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 44,104,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,104,305) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,104,305) x common factors =1 x 4 = 4

LCM(44,104,305) = ( 44 × 104 × 305 ) / 4

LCM(44,104,305) = 1395680 / 4

LCM(44,104,305) = 348920


Lets's calculate GCF of 44,93,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348920/1

Therefore the LCM of Fractions 44/44,104/93,305/474 is 348920

Greatest Common Factor of 44,93,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,93,474 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 44,93,474 . The biggest common factor number is the GCF number.
So the greatest common factor 44,93,474 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/44, 104/93, 305/474

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 44/44, 104/93, 305/474?

Answer: LCM of Numerators as per given numbers 44/44, 104/93, 305/474 is

LCM of Numerators i.e. for 44,104,305 is 348920

GCF of denominators i.e. for 44,93,474 is 1.

Thus, LCM of Fractions is 348920.Finally, LCM of Fractions for 44/44, 104/93, 305/474 is 348920.