Least Common Multiple of 5/42, 4/78, 87/80, 40/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/42, 4/78, 87/80, 40/688 quickly i.e. 1740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/42, 4/78, 87/80, 40/688 is 1740.

LCM(5/42, 4/78, 87/80, 40/688) = 1740

LCM of 5/42, 4/78, 87/80, 40/688

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 5/42,4/78,87/80,40/688

Given numbers are 5/42,4/78,87/80,40/688

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 5,4,87,40

Least Common Multiple of Numerators i.e. LCM of 5,4,87,40 is 3480.

GCF of Denominators means GCF of 42,78,80,688 as per the given fractions.

GCF of 42,78,80,688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,4,87,40

LCM of Fractions 5/42,4/78,87/80,40/688 is 1740

2 5, 4, 87, 40
2 5, 2, 87, 20
5 5, 1, 87, 10
1, 1, 87, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 1 x 87 x 2 = 3480

Least Common Multiple of 5,4,87,40 with GCF Formula

Least Common Multiple of 5,4,87,40 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 5,4,87,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,4,87,40) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(5,4,87,40) x common factors =1 x 20 = 20

LCM(5,4,87,40) = ( 5 × 4 × 87 × 40 ) / 20

LCM(5,4,87,40) = 69600 / 20

LCM(5,4,87,40) = 3480


Lets's calculate GCF of 42,78,80,688

2 42, 78, 80, 688
21, 39, 40, 344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3480/2

Therefore the LCM of Fractions 5/42,4/78,87/80,40/688 is 1740

Greatest Common Factor of 42,78,80,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,78,80,688 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

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 42,78,80,688 . The biggest common factor number is the GCF number.
So the greatest common factor 42,78,80,688 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 5/42, 4/78, 87/80, 40/688

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 5/42, 4/78, 87/80, 40/688?

Answer: LCM of Numerators as per given numbers 5/42, 4/78, 87/80, 40/688 is

LCM of Numerators i.e. for 5,4,87,40 is 3480

GCF of denominators i.e. for 42,78,80,688 is 2.

Thus, LCM of Fractions is 1740.Finally, LCM of Fractions for 5/42, 4/78, 87/80, 40/688 is 1740.