Least Common Multiple of 3/23, 7/87, 80/83, 78/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/23, 7/87, 80/83, 78/410 quickly i.e. 21840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/23, 7/87, 80/83, 78/410 is 21840.

LCM(3/23, 7/87, 80/83, 78/410) = 21840

LCM of 3/23, 7/87, 80/83, 78/410

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 3/23,7/87,80/83,78/410

Given numbers are 3/23,7/87,80/83,78/410

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 3,7,80,78

Least Common Multiple of Numerators i.e. LCM of 3,7,80,78 is 21840.

GCF of Denominators means GCF of 23,87,83,410 as per the given fractions.

GCF of 23,87,83,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,7,80,78

LCM of Fractions 3/23,7/87,80/83,78/410 is 21840

2 3, 7, 80, 78
3 3, 7, 40, 39
1, 7, 40, 13

∴ So the LCM of the given numbers is 2 x 3 x 1 x 7 x 40 x 13 = 21840

Least Common Multiple of 3,7,80,78 with GCF Formula

Least Common Multiple of 3,7,80,78 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 3,7,80,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,7,80,78) = 1

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

GCF(3,7,80,78) x common factors =1 x 6 = 6

LCM(3,7,80,78) = ( 3 × 7 × 80 × 78 ) / 6

LCM(3,7,80,78) = 131040 / 6

LCM(3,7,80,78) = 21840


Lets's calculate GCF of 23,87,83,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21840/1

Therefore the LCM of Fractions 3/23,7/87,80/83,78/410 is 21840

Greatest Common Factor of 23,87,83,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,87,83,410 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 87

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

1,3,29,87

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 23,87,83,410 . The biggest common factor number is the GCF number.
So the greatest common factor 23,87,83,410 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 3/23, 7/87, 80/83, 78/410

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 3/23, 7/87, 80/83, 78/410?

Answer: LCM of Numerators as per given numbers 3/23, 7/87, 80/83, 78/410 is

LCM of Numerators i.e. for 3,7,80,78 is 21840

GCF of denominators i.e. for 23,87,83,410 is 1.

Thus, LCM of Fractions is 21840.Finally, LCM of Fractions for 3/23, 7/87, 80/83, 78/410 is 21840.