Least Common Multiple of 32/74, 83/530, 105/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/74, 83/530, 105/861 quickly i.e. 278880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/74, 83/530, 105/861 is 278880.

LCM(32/74, 83/530, 105/861) = 278880

LCM of 32/74, 83/530, 105/861

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 32/74,83/530,105/861

Given numbers are 32/74,83/530,105/861

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 32,83,105

Least Common Multiple of Numerators i.e. LCM of 32,83,105 is 278880.

GCF of Denominators means GCF of 74,530,861 as per the given fractions.

GCF of 74,530,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,83,105

LCM of Fractions 32/74,83/530,105/861 is 278880

Given numbers has no common factors except 1. So, there LCM is their product i.e 278880

Least Common Multiple of 32,83,105 with GCF Formula

Least Common Multiple of 32,83,105 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 32,83,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,83,105) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(32,83,105) x common factors =1 x 1 = 1

LCM(32,83,105) = ( 32 × 83 × 105 ) / 1

LCM(32,83,105) = 278880 / 1

LCM(32,83,105) = 278880


Lets's calculate GCF of 74,530,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278880/1

Therefore the LCM of Fractions 32/74,83/530,105/861 is 278880

Greatest Common Factor of 74,530,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,530,861 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 74,530,861 . The biggest common factor number is the GCF number.
So the greatest common factor 74,530,861 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 32/74, 83/530, 105/861

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 32/74, 83/530, 105/861?

Answer: LCM of Numerators as per given numbers 32/74, 83/530, 105/861 is

LCM of Numerators i.e. for 32,83,105 is 278880

GCF of denominators i.e. for 74,530,861 is 1.

Thus, LCM of Fractions is 278880.Finally, LCM of Fractions for 32/74, 83/530, 105/861 is 278880.