Least Common Multiple of 814/95, 666/72, 352/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/95, 666/72, 352/940 quickly i.e. 117216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/95, 666/72, 352/940 is 117216.

LCM(814/95, 666/72, 352/940) = 117216

LCM of 814/95, 666/72, 352/940

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 814/95,666/72,352/940

Given numbers are 814/95,666/72,352/940

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 814,666,352

Least Common Multiple of Numerators i.e. LCM of 814,666,352 is 117216.

GCF of Denominators means GCF of 95,72,940 as per the given fractions.

GCF of 95,72,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,666,352

LCM of Fractions 814/95,666/72,352/940 is 117216

2 814, 666, 352
11 407, 333, 176
37 37, 333, 16
1, 9, 16

∴ So the LCM of the given numbers is 2 x 11 x 37 x 1 x 9 x 16 = 117216

Least Common Multiple of 814,666,352 with GCF Formula

Least Common Multiple of 814,666,352 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 814,666,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,666,352) = 2

common factors(in case of two or more numbers have common factors) = 814

GCF(814,666,352) x common factors =2 x 814 = 1628

LCM(814,666,352) = ( 814 × 666 × 352 ) / 1628

LCM(814,666,352) = 190827648 / 1628

LCM(814,666,352) = 117216


Lets's calculate GCF of 95,72,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117216/1

Therefore the LCM of Fractions 814/95,666/72,352/940 is 117216

Greatest Common Factor of 95,72,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,72,940 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 95,72,940 . The biggest common factor number is the GCF number.
So the greatest common factor 95,72,940 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 814/95, 666/72, 352/940

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 814/95, 666/72, 352/940?

Answer: LCM of Numerators as per given numbers 814/95, 666/72, 352/940 is

LCM of Numerators i.e. for 814,666,352 is 117216

GCF of denominators i.e. for 95,72,940 is 1.

Thus, LCM of Fractions is 117216.Finally, LCM of Fractions for 814/95, 666/72, 352/940 is 117216.