Least Common Multiple of 93/746, 19/444, 896/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/746, 19/444, 896/976 quickly i.e. 791616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/746, 19/444, 896/976 is 791616.

LCM(93/746, 19/444, 896/976) = 791616

LCM of 93/746, 19/444, 896/976

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 93/746,19/444,896/976

Given numbers are 93/746,19/444,896/976

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 93,19,896

Least Common Multiple of Numerators i.e. LCM of 93,19,896 is 1583232.

GCF of Denominators means GCF of 746,444,976 as per the given fractions.

GCF of 746,444,976 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,19,896

LCM of Fractions 93/746,19/444,896/976 is 791616

Given numbers has no common factors except 1. So, there LCM is their product i.e 1583232

Least Common Multiple of 93,19,896 with GCF Formula

Least Common Multiple of 93,19,896 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 93,19,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,19,896) = 1

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

GCF(93,19,896) x common factors =1 x 1 = 1

LCM(93,19,896) = ( 93 × 19 × 896 ) / 1

LCM(93,19,896) = 1583232 / 1

LCM(93,19,896) = 1583232


Lets's calculate GCF of 746,444,976

2 746, 444, 976
373, 222, 488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1583232/2

Therefore the LCM of Fractions 93/746,19/444,896/976 is 791616

Greatest Common Factor of 746,444,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,444,976 By Matching Biggest Common Factor Method

Factors of 746

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

1,2,373,746

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 746,444,976 . The biggest common factor number is the GCF number.
So the greatest common factor 746,444,976 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 93/746, 19/444, 896/976

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 93/746, 19/444, 896/976?

Answer: LCM of Numerators as per given numbers 93/746, 19/444, 896/976 is

LCM of Numerators i.e. for 93,19,896 is 1583232

GCF of denominators i.e. for 746,444,976 is 2.

Thus, LCM of Fractions is 791616.Finally, LCM of Fractions for 93/746, 19/444, 896/976 is 791616.