Least Common Multiple of 884/93, 900/13, 471/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 884/93, 900/13, 471/746 quickly i.e. 31227300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 884/93, 900/13, 471/746 is 31227300.

LCM(884/93, 900/13, 471/746) = 31227300

LCM of 884/93, 900/13, 471/746

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 884/93,900/13,471/746

Given numbers are 884/93,900/13,471/746

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 884,900,471

Least Common Multiple of Numerators i.e. LCM of 884,900,471 is 31227300.

GCF of Denominators means GCF of 93,13,746 as per the given fractions.

GCF of 93,13,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 884,900,471

LCM of Fractions 884/93,900/13,471/746 is 31227300

2 884, 900, 471
2 442, 450, 471
3 221, 225, 471
221, 75, 157

∴ So the LCM of the given numbers is 2 x 2 x 3 x 221 x 75 x 157 = 31227300

Least Common Multiple of 884,900,471 with GCF Formula

Least Common Multiple of 884,900,471 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 884,900,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,900,471) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(884,900,471) x common factors =1 x 12 = 12

LCM(884,900,471) = ( 884 × 900 × 471 ) / 12

LCM(884,900,471) = 374727600 / 12

LCM(884,900,471) = 31227300


Lets's calculate GCF of 93,13,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31227300/1

Therefore the LCM of Fractions 884/93,900/13,471/746 is 31227300

Greatest Common Factor of 93,13,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,13,746 By Matching Biggest Common Factor Method

Factors of 93

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

1,3,31,93

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 93,13,746 . The biggest common factor number is the GCF number.
So the greatest common factor 93,13,746 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 884/93, 900/13, 471/746

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 884/93, 900/13, 471/746?

Answer: LCM of Numerators as per given numbers 884/93, 900/13, 471/746 is

LCM of Numerators i.e. for 884,900,471 is 31227300

GCF of denominators i.e. for 93,13,746 is 1.

Thus, LCM of Fractions is 31227300.Finally, LCM of Fractions for 884/93, 900/13, 471/746 is 31227300.