Least Common Multiple of 944/23, 889/22, 786/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 944/23, 889/22, 786/68 quickly i.e. 329811888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 944/23, 889/22, 786/68 is 329811888.

LCM(944/23, 889/22, 786/68) = 329811888

LCM of 944/23, 889/22, 786/68

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 944/23,889/22,786/68

Given numbers are 944/23,889/22,786/68

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 944,889,786

Least Common Multiple of Numerators i.e. LCM of 944,889,786 is 329811888.

GCF of Denominators means GCF of 23,22,68 as per the given fractions.

GCF of 23,22,68 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 944,889,786

LCM of Fractions 944/23,889/22,786/68 is 329811888

2 944, 889, 786
472, 889, 393

∴ So the LCM of the given numbers is 2 x 472 x 889 x 393 = 329811888

Least Common Multiple of 944,889,786 with GCF Formula

Least Common Multiple of 944,889,786 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 944,889,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,889,786) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(944,889,786) x common factors =1 x 2 = 2

LCM(944,889,786) = ( 944 × 889 × 786 ) / 2

LCM(944,889,786) = 659623776 / 2

LCM(944,889,786) = 329811888


Lets's calculate GCF of 23,22,68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329811888/1

Therefore the LCM of Fractions 944/23,889/22,786/68 is 329811888

Greatest Common Factor of 23,22,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,22,68 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 23,22,68 . The biggest common factor number is the GCF number.
So the greatest common factor 23,22,68 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 944/23, 889/22, 786/68

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 944/23, 889/22, 786/68?

Answer: LCM of Numerators as per given numbers 944/23, 889/22, 786/68 is

LCM of Numerators i.e. for 944,889,786 is 329811888

GCF of denominators i.e. for 23,22,68 is 1.

Thus, LCM of Fractions is 329811888.Finally, LCM of Fractions for 944/23, 889/22, 786/68 is 329811888.