Least Common Multiple of 80/93, 26/11, 36/45, 78/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/93, 26/11, 36/45, 78/628 quickly i.e. 9360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/93, 26/11, 36/45, 78/628 is 9360.

LCM(80/93, 26/11, 36/45, 78/628) = 9360

LCM of 80/93, 26/11, 36/45, 78/628

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 80/93,26/11,36/45,78/628

Given numbers are 80/93,26/11,36/45,78/628

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 80,26,36,78

Least Common Multiple of Numerators i.e. LCM of 80,26,36,78 is 9360.

GCF of Denominators means GCF of 93,11,45,628 as per the given fractions.

GCF of 93,11,45,628 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,26,36,78

LCM of Fractions 80/93,26/11,36/45,78/628 is 9360

2 80, 26, 36, 78
2 40, 13, 18, 39
3 20, 13, 9, 39
13 20, 13, 3, 13
20, 1, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 20 x 1 x 3 x 1 = 9360

Least Common Multiple of 80,26,36,78 with GCF Formula

Least Common Multiple of 80,26,36,78 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 80,26,36,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,26,36,78) = 2

common factors(in case of two or more numbers have common factors) = 312

GCF(80,26,36,78) x common factors =2 x 312 = 624

LCM(80,26,36,78) = ( 80 × 26 × 36 × 78 ) / 624

LCM(80,26,36,78) = 5840640 / 624

LCM(80,26,36,78) = 9360


Lets's calculate GCF of 93,11,45,628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9360/1

Therefore the LCM of Fractions 80/93,26/11,36/45,78/628 is 9360

Greatest Common Factor of 93,11,45,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,11,45,628 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 93,11,45,628 . The biggest common factor number is the GCF number.
So the greatest common factor 93,11,45,628 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/93, 26/11, 36/45, 78/628

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 80/93, 26/11, 36/45, 78/628?

Answer: LCM of Numerators as per given numbers 80/93, 26/11, 36/45, 78/628 is

LCM of Numerators i.e. for 80,26,36,78 is 9360

GCF of denominators i.e. for 93,11,45,628 is 1.

Thus, LCM of Fractions is 9360.Finally, LCM of Fractions for 80/93, 26/11, 36/45, 78/628 is 9360.