Least Common Multiple of 71/106, 955/499, 172/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/106, 955/499, 172/555 quickly i.e. 11662460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/106, 955/499, 172/555 is 11662460.

LCM(71/106, 955/499, 172/555) = 11662460

LCM of 71/106, 955/499, 172/555

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 71/106,955/499,172/555

Given numbers are 71/106,955/499,172/555

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 71,955,172

Least Common Multiple of Numerators i.e. LCM of 71,955,172 is 11662460.

GCF of Denominators means GCF of 106,499,555 as per the given fractions.

GCF of 106,499,555 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,955,172

LCM of Fractions 71/106,955/499,172/555 is 11662460

Given numbers has no common factors except 1. So, there LCM is their product i.e 11662460

Least Common Multiple of 71,955,172 with GCF Formula

Least Common Multiple of 71,955,172 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 71,955,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,955,172) = 1

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

GCF(71,955,172) x common factors =1 x 1 = 1

LCM(71,955,172) = ( 71 × 955 × 172 ) / 1

LCM(71,955,172) = 11662460 / 1

LCM(71,955,172) = 11662460


Lets's calculate GCF of 106,499,555

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11662460/1

Therefore the LCM of Fractions 71/106,955/499,172/555 is 11662460

Greatest Common Factor of 106,499,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,499,555 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 106,499,555 . The biggest common factor number is the GCF number.
So the greatest common factor 106,499,555 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 71/106, 955/499, 172/555

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 71/106, 955/499, 172/555?

Answer: LCM of Numerators as per given numbers 71/106, 955/499, 172/555 is

LCM of Numerators i.e. for 71,955,172 is 11662460

GCF of denominators i.e. for 106,499,555 is 1.

Thus, LCM of Fractions is 11662460.Finally, LCM of Fractions for 71/106, 955/499, 172/555 is 11662460.