Least Common Multiple of 95/65, 19/12, 12/51, 54/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/65, 19/12, 12/51, 54/560 quickly i.e. 10260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/65, 19/12, 12/51, 54/560 is 10260.

LCM(95/65, 19/12, 12/51, 54/560) = 10260

LCM of 95/65, 19/12, 12/51, 54/560

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 95/65,19/12,12/51,54/560

Given numbers are 95/65,19/12,12/51,54/560

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 95,19,12,54

Least Common Multiple of Numerators i.e. LCM of 95,19,12,54 is 10260.

GCF of Denominators means GCF of 65,12,51,560 as per the given fractions.

GCF of 65,12,51,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,19,12,54

LCM of Fractions 95/65,19/12,12/51,54/560 is 10260

2 95, 19, 12, 54
3 95, 19, 6, 27
19 95, 19, 2, 9
5, 1, 2, 9

∴ So the LCM of the given numbers is 2 x 3 x 19 x 5 x 1 x 2 x 9 = 10260

Least Common Multiple of 95,19,12,54 with GCF Formula

Least Common Multiple of 95,19,12,54 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 95,19,12,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,19,12,54) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(95,19,12,54) x common factors =1 x 114 = 114

LCM(95,19,12,54) = ( 95 × 19 × 12 × 54 ) / 114

LCM(95,19,12,54) = 1169640 / 114

LCM(95,19,12,54) = 10260


Lets's calculate GCF of 65,12,51,560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10260/1

Therefore the LCM of Fractions 95/65,19/12,12/51,54/560 is 10260

Greatest Common Factor of 65,12,51,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,12,51,560 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 65,12,51,560 . The biggest common factor number is the GCF number.
So the greatest common factor 65,12,51,560 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 95/65, 19/12, 12/51, 54/560

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 95/65, 19/12, 12/51, 54/560?

Answer: LCM of Numerators as per given numbers 95/65, 19/12, 12/51, 54/560 is

LCM of Numerators i.e. for 95,19,12,54 is 10260

GCF of denominators i.e. for 65,12,51,560 is 1.

Thus, LCM of Fractions is 10260.Finally, LCM of Fractions for 95/65, 19/12, 12/51, 54/560 is 10260.