Least Common Multiple of 70/59, 96/18, 149/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/59, 96/18, 149/687 quickly i.e. 500640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/59, 96/18, 149/687 is 500640.

LCM(70/59, 96/18, 149/687) = 500640

LCM of 70/59, 96/18, 149/687

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 70/59,96/18,149/687

Given numbers are 70/59,96/18,149/687

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 70,96,149

Least Common Multiple of Numerators i.e. LCM of 70,96,149 is 500640.

GCF of Denominators means GCF of 59,18,687 as per the given fractions.

GCF of 59,18,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,96,149

LCM of Fractions 70/59,96/18,149/687 is 500640

2 70, 96, 149
35, 48, 149

∴ So the LCM of the given numbers is 2 x 35 x 48 x 149 = 500640

Least Common Multiple of 70,96,149 with GCF Formula

Least Common Multiple of 70,96,149 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 70,96,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,96,149) = 1

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

GCF(70,96,149) x common factors =1 x 2 = 2

LCM(70,96,149) = ( 70 × 96 × 149 ) / 2

LCM(70,96,149) = 1001280 / 2

LCM(70,96,149) = 500640


Lets's calculate GCF of 59,18,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500640/1

Therefore the LCM of Fractions 70/59,96/18,149/687 is 500640

Greatest Common Factor of 59,18,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,18,687 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 59,18,687 . The biggest common factor number is the GCF number.
So the greatest common factor 59,18,687 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 70/59, 96/18, 149/687

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 70/59, 96/18, 149/687?

Answer: LCM of Numerators as per given numbers 70/59, 96/18, 149/687 is

LCM of Numerators i.e. for 70,96,149 is 500640

GCF of denominators i.e. for 59,18,687 is 1.

Thus, LCM of Fractions is 500640.Finally, LCM of Fractions for 70/59, 96/18, 149/687 is 500640.