Least Common Multiple of 49/586, 214/289, 141/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/586, 214/289, 141/707 quickly i.e. 1478526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/586, 214/289, 141/707 is 1478526.

LCM(49/586, 214/289, 141/707) = 1478526

LCM of 49/586, 214/289, 141/707

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 49/586,214/289,141/707

Given numbers are 49/586,214/289,141/707

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 49,214,141

Least Common Multiple of Numerators i.e. LCM of 49,214,141 is 1478526.

GCF of Denominators means GCF of 586,289,707 as per the given fractions.

GCF of 586,289,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,214,141

LCM of Fractions 49/586,214/289,141/707 is 1478526

Given numbers has no common factors except 1. So, there LCM is their product i.e 1478526

Least Common Multiple of 49,214,141 with GCF Formula

Least Common Multiple of 49,214,141 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 49,214,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,214,141) = 1

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

GCF(49,214,141) x common factors =1 x 1 = 1

LCM(49,214,141) = ( 49 × 214 × 141 ) / 1

LCM(49,214,141) = 1478526 / 1

LCM(49,214,141) = 1478526


Lets's calculate GCF of 586,289,707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1478526/1

Therefore the LCM of Fractions 49/586,214/289,141/707 is 1478526

Greatest Common Factor of 586,289,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,289,707 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 586,289,707 . The biggest common factor number is the GCF number.
So the greatest common factor 586,289,707 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 49/586, 214/289, 141/707

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 49/586, 214/289, 141/707?

Answer: LCM of Numerators as per given numbers 49/586, 214/289, 141/707 is

LCM of Numerators i.e. for 49,214,141 is 1478526

GCF of denominators i.e. for 586,289,707 is 1.

Thus, LCM of Fractions is 1478526.Finally, LCM of Fractions for 49/586, 214/289, 141/707 is 1478526.