Least Common Multiple of 68/68, 84/87, 42/17, 56/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/68, 84/87, 42/17, 56/688 quickly i.e. 2856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/68, 84/87, 42/17, 56/688 is 2856.

LCM(68/68, 84/87, 42/17, 56/688) = 2856

LCM of 68/68, 84/87, 42/17, 56/688

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 68/68,84/87,42/17,56/688

Given numbers are 68/68,84/87,42/17,56/688

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 68,84,42,56

Least Common Multiple of Numerators i.e. LCM of 68,84,42,56 is 2856.

GCF of Denominators means GCF of 68,87,17,688 as per the given fractions.

GCF of 68,87,17,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,84,42,56

LCM of Fractions 68/68,84/87,42/17,56/688 is 2856

2 68, 84, 42, 56
2 34, 42, 21, 28
3 17, 21, 21, 14
7 17, 7, 7, 14
17, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 17 x 1 x 1 x 2 = 2856

Least Common Multiple of 68,84,42,56 with GCF Formula

Least Common Multiple of 68,84,42,56 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 68,84,42,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,84,42,56) = 2

common factors(in case of two or more numbers have common factors) = 2352

GCF(68,84,42,56) x common factors =2 x 2352 = 4704

LCM(68,84,42,56) = ( 68 × 84 × 42 × 56 ) / 4704

LCM(68,84,42,56) = 13434624 / 4704

LCM(68,84,42,56) = 2856


Lets's calculate GCF of 68,87,17,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2856/1

Therefore the LCM of Fractions 68/68,84/87,42/17,56/688 is 2856

Greatest Common Factor of 68,87,17,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,87,17,688 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 68,87,17,688 . The biggest common factor number is the GCF number.
So the greatest common factor 68,87,17,688 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 68/68, 84/87, 42/17, 56/688

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 68/68, 84/87, 42/17, 56/688?

Answer: LCM of Numerators as per given numbers 68/68, 84/87, 42/17, 56/688 is

LCM of Numerators i.e. for 68,84,42,56 is 2856

GCF of denominators i.e. for 68,87,17,688 is 1.

Thus, LCM of Fractions is 2856.Finally, LCM of Fractions for 68/68, 84/87, 42/17, 56/688 is 2856.