Least Common Multiple of 863/537, 375/439, 838/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 863/537, 375/439, 838/405 quickly i.e. 271197750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 863/537, 375/439, 838/405 is 271197750.

LCM(863/537, 375/439, 838/405) = 271197750

LCM of 863/537, 375/439, 838/405

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 863/537,375/439,838/405

Given numbers are 863/537,375/439,838/405

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 863,375,838

Least Common Multiple of Numerators i.e. LCM of 863,375,838 is 271197750.

GCF of Denominators means GCF of 537,439,405 as per the given fractions.

GCF of 537,439,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 863,375,838

LCM of Fractions 863/537,375/439,838/405 is 271197750

Given numbers has no common factors except 1. So, there LCM is their product i.e 271197750

Least Common Multiple of 863,375,838 with GCF Formula

Least Common Multiple of 863,375,838 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 863,375,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,375,838) = 1

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

GCF(863,375,838) x common factors =1 x 1 = 1

LCM(863,375,838) = ( 863 × 375 × 838 ) / 1

LCM(863,375,838) = 271197750 / 1

LCM(863,375,838) = 271197750


Lets's calculate GCF of 537,439,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271197750/1

Therefore the LCM of Fractions 863/537,375/439,838/405 is 271197750

Greatest Common Factor of 537,439,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,439,405 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 537,439,405 . The biggest common factor number is the GCF number.
So the greatest common factor 537,439,405 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 863/537, 375/439, 838/405

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 863/537, 375/439, 838/405?

Answer: LCM of Numerators as per given numbers 863/537, 375/439, 838/405 is

LCM of Numerators i.e. for 863,375,838 is 271197750

GCF of denominators i.e. for 537,439,405 is 1.

Thus, LCM of Fractions is 271197750.Finally, LCM of Fractions for 863/537, 375/439, 838/405 is 271197750.