Least Common Multiple of 44/23, 65/94, 14/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/23, 65/94, 14/778 quickly i.e. 20020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/23, 65/94, 14/778 is 20020.

LCM(44/23, 65/94, 14/778) = 20020

LCM of 44/23, 65/94, 14/778

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 44/23,65/94,14/778

Given numbers are 44/23,65/94,14/778

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 44,65,14

Least Common Multiple of Numerators i.e. LCM of 44,65,14 is 20020.

GCF of Denominators means GCF of 23,94,778 as per the given fractions.

GCF of 23,94,778 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,65,14

LCM of Fractions 44/23,65/94,14/778 is 20020

2 44, 65, 14
22, 65, 7

∴ So the LCM of the given numbers is 2 x 22 x 65 x 7 = 20020

Least Common Multiple of 44,65,14 with GCF Formula

Least Common Multiple of 44,65,14 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 44,65,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,65,14) = 1

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

GCF(44,65,14) x common factors =1 x 2 = 2

LCM(44,65,14) = ( 44 × 65 × 14 ) / 2

LCM(44,65,14) = 40040 / 2

LCM(44,65,14) = 20020


Lets's calculate GCF of 23,94,778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20020/1

Therefore the LCM of Fractions 44/23,65/94,14/778 is 20020

Greatest Common Factor of 23,94,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,94,778 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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 23,94,778 . The biggest common factor number is the GCF number.
So the greatest common factor 23,94,778 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 44/23, 65/94, 14/778

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 44/23, 65/94, 14/778?

Answer: LCM of Numerators as per given numbers 44/23, 65/94, 14/778 is

LCM of Numerators i.e. for 44,65,14 is 20020

GCF of denominators i.e. for 23,94,778 is 1.

Thus, LCM of Fractions is 20020.Finally, LCM of Fractions for 44/23, 65/94, 14/778 is 20020.