Least Common Multiple of 62/75, 92/205, 227/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/75, 92/205, 227/988 quickly i.e. 647404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/75, 92/205, 227/988 is 647404.

LCM(62/75, 92/205, 227/988) = 647404

LCM of 62/75, 92/205, 227/988

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 62/75,92/205,227/988

Given numbers are 62/75,92/205,227/988

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 62,92,227

Least Common Multiple of Numerators i.e. LCM of 62,92,227 is 647404.

GCF of Denominators means GCF of 75,205,988 as per the given fractions.

GCF of 75,205,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,92,227

LCM of Fractions 62/75,92/205,227/988 is 647404

2 62, 92, 227
31, 46, 227

∴ So the LCM of the given numbers is 2 x 31 x 46 x 227 = 647404

Least Common Multiple of 62,92,227 with GCF Formula

Least Common Multiple of 62,92,227 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 62,92,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,92,227) = 1

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

GCF(62,92,227) x common factors =1 x 2 = 2

LCM(62,92,227) = ( 62 × 92 × 227 ) / 2

LCM(62,92,227) = 1294808 / 2

LCM(62,92,227) = 647404


Lets's calculate GCF of 75,205,988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 647404/1

Therefore the LCM of Fractions 62/75,92/205,227/988 is 647404

Greatest Common Factor of 75,205,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,205,988 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 75,205,988 . The biggest common factor number is the GCF number.
So the greatest common factor 75,205,988 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 62/75, 92/205, 227/988

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 62/75, 92/205, 227/988?

Answer: LCM of Numerators as per given numbers 62/75, 92/205, 227/988 is

LCM of Numerators i.e. for 62,92,227 is 647404

GCF of denominators i.e. for 75,205,988 is 1.

Thus, LCM of Fractions is 647404.Finally, LCM of Fractions for 62/75, 92/205, 227/988 is 647404.