Least Common Multiple of 60/56, 42/40, 78/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/56, 42/40, 78/514 quickly i.e. 2730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/56, 42/40, 78/514 is 2730.

LCM(60/56, 42/40, 78/514) = 2730

LCM of 60/56, 42/40, 78/514

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 60/56,42/40,78/514

Given numbers are 60/56,42/40,78/514

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 60,42,78

Least Common Multiple of Numerators i.e. LCM of 60,42,78 is 5460.

GCF of Denominators means GCF of 56,40,514 as per the given fractions.

GCF of 56,40,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,42,78

LCM of Fractions 60/56,42/40,78/514 is 2730

2 60, 42, 78
3 30, 21, 39
10, 7, 13

∴ So the LCM of the given numbers is 2 x 3 x 10 x 7 x 13 = 5460

Least Common Multiple of 60,42,78 with GCF Formula

Least Common Multiple of 60,42,78 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 60,42,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,42,78) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(60,42,78) x common factors =6 x 6 = 36

LCM(60,42,78) = ( 60 × 42 × 78 ) / 36

LCM(60,42,78) = 196560 / 36

LCM(60,42,78) = 5460


Lets's calculate GCF of 56,40,514

2 56, 40, 514
28, 20, 257

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5460/2

Therefore the LCM of Fractions 60/56,42/40,78/514 is 2730

Greatest Common Factor of 56,40,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,40,514 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 56,40,514 . The biggest common factor number is the GCF number.
So the greatest common factor 56,40,514 is 2.


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 60/56, 42/40, 78/514

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 60/56, 42/40, 78/514?

Answer: LCM of Numerators as per given numbers 60/56, 42/40, 78/514 is

LCM of Numerators i.e. for 60,42,78 is 5460

GCF of denominators i.e. for 56,40,514 is 2.

Thus, LCM of Fractions is 2730.Finally, LCM of Fractions for 60/56, 42/40, 78/514 is 2730.