Least Common Multiple of 757/80, 435/31, 189/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 757/80, 435/31, 189/214 quickly i.e. 20745585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 757/80, 435/31, 189/214 is 20745585.

LCM(757/80, 435/31, 189/214) = 20745585

LCM of 757/80, 435/31, 189/214

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 757/80,435/31,189/214

Given numbers are 757/80,435/31,189/214

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 757,435,189

Least Common Multiple of Numerators i.e. LCM of 757,435,189 is 20745585.

GCF of Denominators means GCF of 80,31,214 as per the given fractions.

GCF of 80,31,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 757,435,189

LCM of Fractions 757/80,435/31,189/214 is 20745585

3 757, 435, 189
757, 145, 63

∴ So the LCM of the given numbers is 3 x 757 x 145 x 63 = 20745585

Least Common Multiple of 757,435,189 with GCF Formula

Least Common Multiple of 757,435,189 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 757,435,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,435,189) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(757,435,189) x common factors =1 x 3 = 3

LCM(757,435,189) = ( 757 × 435 × 189 ) / 3

LCM(757,435,189) = 62236755 / 3

LCM(757,435,189) = 20745585


Lets's calculate GCF of 80,31,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20745585/1

Therefore the LCM of Fractions 757/80,435/31,189/214 is 20745585

Greatest Common Factor of 80,31,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,31,214 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 80,31,214 . The biggest common factor number is the GCF number.
So the greatest common factor 80,31,214 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 757/80, 435/31, 189/214

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 757/80, 435/31, 189/214?

Answer: LCM of Numerators as per given numbers 757/80, 435/31, 189/214 is

LCM of Numerators i.e. for 757,435,189 is 20745585

GCF of denominators i.e. for 80,31,214 is 1.

Thus, LCM of Fractions is 20745585.Finally, LCM of Fractions for 757/80, 435/31, 189/214 is 20745585.