Least Common Multiple of 658/31, 287/86, 409/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 658/31, 287/86, 409/740 quickly i.e. 11034002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/31, 287/86, 409/740 is 11034002.

LCM(658/31, 287/86, 409/740) = 11034002

LCM of 658/31, 287/86, 409/740

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 658/31,287/86,409/740

Given numbers are 658/31,287/86,409/740

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 658,287,409

Least Common Multiple of Numerators i.e. LCM of 658,287,409 is 11034002.

GCF of Denominators means GCF of 31,86,740 as per the given fractions.

GCF of 31,86,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,287,409

LCM of Fractions 658/31,287/86,409/740 is 11034002

7 658, 287, 409
94, 41, 409

∴ So the LCM of the given numbers is 7 x 94 x 41 x 409 = 11034002

Least Common Multiple of 658,287,409 with GCF Formula

Least Common Multiple of 658,287,409 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 658,287,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,287,409) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(658,287,409) x common factors =1 x 7 = 7

LCM(658,287,409) = ( 658 × 287 × 409 ) / 7

LCM(658,287,409) = 77238014 / 7

LCM(658,287,409) = 11034002


Lets's calculate GCF of 31,86,740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11034002/1

Therefore the LCM of Fractions 658/31,287/86,409/740 is 11034002

Greatest Common Factor of 31,86,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,86,740 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 31,86,740 . The biggest common factor number is the GCF number.
So the greatest common factor 31,86,740 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 658/31, 287/86, 409/740

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 658/31, 287/86, 409/740?

Answer: LCM of Numerators as per given numbers 658/31, 287/86, 409/740 is

LCM of Numerators i.e. for 658,287,409 is 11034002

GCF of denominators i.e. for 31,86,740 is 1.

Thus, LCM of Fractions is 11034002.Finally, LCM of Fractions for 658/31, 287/86, 409/740 is 11034002.