Least Common Multiple of 32/42, 13/69, 40/78, 92/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/42, 13/69, 40/78, 92/505 quickly i.e. 47840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/42, 13/69, 40/78, 92/505 is 47840.

LCM(32/42, 13/69, 40/78, 92/505) = 47840

LCM of 32/42, 13/69, 40/78, 92/505

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 32/42,13/69,40/78,92/505

Given numbers are 32/42,13/69,40/78,92/505

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 32,13,40,92

Least Common Multiple of Numerators i.e. LCM of 32,13,40,92 is 47840.

GCF of Denominators means GCF of 42,69,78,505 as per the given fractions.

GCF of 42,69,78,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,13,40,92

LCM of Fractions 32/42,13/69,40/78,92/505 is 47840

2 32, 13, 40, 92
2 16, 13, 20, 46
2 8, 13, 10, 23
4, 13, 5, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 13 x 5 x 23 = 47840

Least Common Multiple of 32,13,40,92 with GCF Formula

Least Common Multiple of 32,13,40,92 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 32,13,40,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,13,40,92) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(32,13,40,92) x common factors =1 x 32 = 32

LCM(32,13,40,92) = ( 32 × 13 × 40 × 92 ) / 32

LCM(32,13,40,92) = 1530880 / 32

LCM(32,13,40,92) = 47840


Lets's calculate GCF of 42,69,78,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47840/1

Therefore the LCM of Fractions 32/42,13/69,40/78,92/505 is 47840

Greatest Common Factor of 42,69,78,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,69,78,505 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

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 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 42,69,78,505 . The biggest common factor number is the GCF number.
So the greatest common factor 42,69,78,505 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 32/42, 13/69, 40/78, 92/505

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 32/42, 13/69, 40/78, 92/505?

Answer: LCM of Numerators as per given numbers 32/42, 13/69, 40/78, 92/505 is

LCM of Numerators i.e. for 32,13,40,92 is 47840

GCF of denominators i.e. for 42,69,78,505 is 1.

Thus, LCM of Fractions is 47840.Finally, LCM of Fractions for 32/42, 13/69, 40/78, 92/505 is 47840.