Least Common Multiple of 214/40, 391/37, 832/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/40, 391/37, 832/852 quickly i.e. 34808384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/40, 391/37, 832/852 is 34808384.

LCM(214/40, 391/37, 832/852) = 34808384

LCM of 214/40, 391/37, 832/852

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 214/40,391/37,832/852

Given numbers are 214/40,391/37,832/852

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 214,391,832

Least Common Multiple of Numerators i.e. LCM of 214,391,832 is 34808384.

GCF of Denominators means GCF of 40,37,852 as per the given fractions.

GCF of 40,37,852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,391,832

LCM of Fractions 214/40,391/37,832/852 is 34808384

2 214, 391, 832
107, 391, 416

∴ So the LCM of the given numbers is 2 x 107 x 391 x 416 = 34808384

Least Common Multiple of 214,391,832 with GCF Formula

Least Common Multiple of 214,391,832 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 214,391,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,391,832) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(214,391,832) x common factors =1 x 2 = 2

LCM(214,391,832) = ( 214 × 391 × 832 ) / 2

LCM(214,391,832) = 69616768 / 2

LCM(214,391,832) = 34808384


Lets's calculate GCF of 40,37,852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34808384/1

Therefore the LCM of Fractions 214/40,391/37,832/852 is 34808384

Greatest Common Factor of 40,37,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,37,852 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 40,37,852 . The biggest common factor number is the GCF number.
So the greatest common factor 40,37,852 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 214/40, 391/37, 832/852

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 214/40, 391/37, 832/852?

Answer: LCM of Numerators as per given numbers 214/40, 391/37, 832/852 is

LCM of Numerators i.e. for 214,391,832 is 34808384

GCF of denominators i.e. for 40,37,852 is 1.

Thus, LCM of Fractions is 34808384.Finally, LCM of Fractions for 214/40, 391/37, 832/852 is 34808384.