Least Common Multiple of 74/861, 329/875, 985/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/861, 329/875, 985/360 quickly i.e. 23980810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/861, 329/875, 985/360 is 23980810.

LCM(74/861, 329/875, 985/360) = 23980810

LCM of 74/861, 329/875, 985/360

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 74/861,329/875,985/360

Given numbers are 74/861,329/875,985/360

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 74,329,985

Least Common Multiple of Numerators i.e. LCM of 74,329,985 is 23980810.

GCF of Denominators means GCF of 861,875,360 as per the given fractions.

GCF of 861,875,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,329,985

LCM of Fractions 74/861,329/875,985/360 is 23980810

Given numbers has no common factors except 1. So, there LCM is their product i.e 23980810

Least Common Multiple of 74,329,985 with GCF Formula

Least Common Multiple of 74,329,985 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 74,329,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,329,985) = 1

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

GCF(74,329,985) x common factors =1 x 1 = 1

LCM(74,329,985) = ( 74 × 329 × 985 ) / 1

LCM(74,329,985) = 23980810 / 1

LCM(74,329,985) = 23980810


Lets's calculate GCF of 861,875,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23980810/1

Therefore the LCM of Fractions 74/861,329/875,985/360 is 23980810

Greatest Common Factor of 861,875,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,875,360 By Matching Biggest Common Factor Method

Factors of 861

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

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

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 861,875,360 . The biggest common factor number is the GCF number.
So the greatest common factor 861,875,360 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 74/861, 329/875, 985/360

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 74/861, 329/875, 985/360?

Answer: LCM of Numerators as per given numbers 74/861, 329/875, 985/360 is

LCM of Numerators i.e. for 74,329,985 is 23980810

GCF of denominators i.e. for 861,875,360 is 1.

Thus, LCM of Fractions is 23980810.Finally, LCM of Fractions for 74/861, 329/875, 985/360 is 23980810.