Least Common Multiple of 860/443, 553/326, 379/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 860/443, 553/326, 379/972 quickly i.e. 180244820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 860/443, 553/326, 379/972 is 180244820.

LCM(860/443, 553/326, 379/972) = 180244820

LCM of 860/443, 553/326, 379/972

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 860/443,553/326,379/972

Given numbers are 860/443,553/326,379/972

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 860,553,379

Least Common Multiple of Numerators i.e. LCM of 860,553,379 is 180244820.

GCF of Denominators means GCF of 443,326,972 as per the given fractions.

GCF of 443,326,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 860,553,379

LCM of Fractions 860/443,553/326,379/972 is 180244820

Given numbers has no common factors except 1. So, there LCM is their product i.e 180244820

Least Common Multiple of 860,553,379 with GCF Formula

Least Common Multiple of 860,553,379 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 860,553,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,553,379) = 1

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

GCF(860,553,379) x common factors =1 x 1 = 1

LCM(860,553,379) = ( 860 × 553 × 379 ) / 1

LCM(860,553,379) = 180244820 / 1

LCM(860,553,379) = 180244820


Lets's calculate GCF of 443,326,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180244820/1

Therefore the LCM of Fractions 860/443,553/326,379/972 is 180244820

Greatest Common Factor of 443,326,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,326,972 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 443,326,972 . The biggest common factor number is the GCF number.
So the greatest common factor 443,326,972 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 860/443, 553/326, 379/972

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 860/443, 553/326, 379/972?

Answer: LCM of Numerators as per given numbers 860/443, 553/326, 379/972 is

LCM of Numerators i.e. for 860,553,379 is 180244820

GCF of denominators i.e. for 443,326,972 is 1.

Thus, LCM of Fractions is 180244820.Finally, LCM of Fractions for 860/443, 553/326, 379/972 is 180244820.