Least Common Multiple of 11/96, 44/703, 786/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/96, 44/703, 786/753 quickly i.e. 17292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/96, 44/703, 786/753 is 17292.

LCM(11/96, 44/703, 786/753) = 17292

LCM of 11/96, 44/703, 786/753

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 11/96,44/703,786/753

Given numbers are 11/96,44/703,786/753

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 11,44,786

Least Common Multiple of Numerators i.e. LCM of 11,44,786 is 17292.

GCF of Denominators means GCF of 96,703,753 as per the given fractions.

GCF of 96,703,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,44,786

LCM of Fractions 11/96,44/703,786/753 is 17292

2 11, 44, 786
11 11, 22, 393
1, 2, 393

∴ So the LCM of the given numbers is 2 x 11 x 1 x 2 x 393 = 17292

Least Common Multiple of 11,44,786 with GCF Formula

Least Common Multiple of 11,44,786 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 11,44,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,44,786) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(11,44,786) x common factors =1 x 22 = 22

LCM(11,44,786) = ( 11 × 44 × 786 ) / 22

LCM(11,44,786) = 380424 / 22

LCM(11,44,786) = 17292


Lets's calculate GCF of 96,703,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17292/1

Therefore the LCM of Fractions 11/96,44/703,786/753 is 17292

Greatest Common Factor of 96,703,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,703,753 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 96,703,753 . The biggest common factor number is the GCF number.
So the greatest common factor 96,703,753 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/96, 44/703, 786/753

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 11/96, 44/703, 786/753?

Answer: LCM of Numerators as per given numbers 11/96, 44/703, 786/753 is

LCM of Numerators i.e. for 11,44,786 is 17292

GCF of denominators i.e. for 96,703,753 is 1.

Thus, LCM of Fractions is 17292.Finally, LCM of Fractions for 11/96, 44/703, 786/753 is 17292.