Least Common Multiple of 391/43, 391/10, 480/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 391/43, 391/10, 480/44 quickly i.e. 187680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/43, 391/10, 480/44 is 187680.

LCM(391/43, 391/10, 480/44) = 187680

LCM of 391/43, 391/10, 480/44

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 391/43,391/10,480/44

Given numbers are 391/43,391/10,480/44

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 391,391,480

Least Common Multiple of Numerators i.e. LCM of 391,391,480 is 187680.

GCF of Denominators means GCF of 43,10,44 as per the given fractions.

GCF of 43,10,44 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,391,480

LCM of Fractions 391/43,391/10,480/44 is 187680

17 391, 391, 480
23 23, 23, 480
1, 1, 480

∴ So the LCM of the given numbers is 17 x 23 x 1 x 1 x 480 = 187680

Least Common Multiple of 391,391,480 with GCF Formula

Least Common Multiple of 391,391,480 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 391,391,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,391,480) = 1

common factors(in case of two or more numbers have common factors) = 391

GCF(391,391,480) x common factors =1 x 391 = 391

LCM(391,391,480) = ( 391 × 391 × 480 ) / 391

LCM(391,391,480) = 73382880 / 391

LCM(391,391,480) = 187680


Lets's calculate GCF of 43,10,44

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187680/1

Therefore the LCM of Fractions 391/43,391/10,480/44 is 187680

Greatest Common Factor of 43,10,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,10,44 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 43,10,44 . The biggest common factor number is the GCF number.
So the greatest common factor 43,10,44 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 391/43, 391/10, 480/44

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 391/43, 391/10, 480/44?

Answer: LCM of Numerators as per given numbers 391/43, 391/10, 480/44 is

LCM of Numerators i.e. for 391,391,480 is 187680

GCF of denominators i.e. for 43,10,44 is 1.

Thus, LCM of Fractions is 187680.Finally, LCM of Fractions for 391/43, 391/10, 480/44 is 187680.