Least Common Multiple of 80/52, 88/19, 42/39, 70/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/52, 88/19, 42/39, 70/468 quickly i.e. 18480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/52, 88/19, 42/39, 70/468 is 18480.

LCM(80/52, 88/19, 42/39, 70/468) = 18480

LCM of 80/52, 88/19, 42/39, 70/468

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 80/52,88/19,42/39,70/468

Given numbers are 80/52,88/19,42/39,70/468

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 80,88,42,70

Least Common Multiple of Numerators i.e. LCM of 80,88,42,70 is 18480.

GCF of Denominators means GCF of 52,19,39,468 as per the given fractions.

GCF of 52,19,39,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,88,42,70

LCM of Fractions 80/52,88/19,42/39,70/468 is 18480

2 80, 88, 42, 70
2 40, 44, 21, 35
2 20, 22, 21, 35
5 10, 11, 21, 35
7 2, 11, 21, 7
2, 11, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 2 x 11 x 3 x 1 = 18480

Least Common Multiple of 80,88,42,70 with GCF Formula

Least Common Multiple of 80,88,42,70 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 80,88,42,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,88,42,70) = 2

common factors(in case of two or more numbers have common factors) = 560

GCF(80,88,42,70) x common factors =2 x 560 = 1120

LCM(80,88,42,70) = ( 80 × 88 × 42 × 70 ) / 1120

LCM(80,88,42,70) = 20697600 / 1120

LCM(80,88,42,70) = 18480


Lets's calculate GCF of 52,19,39,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18480/1

Therefore the LCM of Fractions 80/52,88/19,42/39,70/468 is 18480

Greatest Common Factor of 52,19,39,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,19,39,468 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 52,19,39,468 . The biggest common factor number is the GCF number.
So the greatest common factor 52,19,39,468 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 80/52, 88/19, 42/39, 70/468

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 80/52, 88/19, 42/39, 70/468?

Answer: LCM of Numerators as per given numbers 80/52, 88/19, 42/39, 70/468 is

LCM of Numerators i.e. for 80,88,42,70 is 18480

GCF of denominators i.e. for 52,19,39,468 is 1.

Thus, LCM of Fractions is 18480.Finally, LCM of Fractions for 80/52, 88/19, 42/39, 70/468 is 18480.