Least Common Multiple of 59/462, 687/850, 734/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/462, 687/850, 734/632 quickly i.e. 14875611 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/462, 687/850, 734/632 is 14875611.

LCM(59/462, 687/850, 734/632) = 14875611

LCM of 59/462, 687/850, 734/632

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 59/462,687/850,734/632

Given numbers are 59/462,687/850,734/632

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 59,687,734

Least Common Multiple of Numerators i.e. LCM of 59,687,734 is 29751222.

GCF of Denominators means GCF of 462,850,632 as per the given fractions.

GCF of 462,850,632 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,687,734

LCM of Fractions 59/462,687/850,734/632 is 14875611

Given numbers has no common factors except 1. So, there LCM is their product i.e 29751222

Least Common Multiple of 59,687,734 with GCF Formula

Least Common Multiple of 59,687,734 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 59,687,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,687,734) = 1

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

GCF(59,687,734) x common factors =1 x 1 = 1

LCM(59,687,734) = ( 59 × 687 × 734 ) / 1

LCM(59,687,734) = 29751222 / 1

LCM(59,687,734) = 29751222


Lets's calculate GCF of 462,850,632

2 462, 850, 632
231, 425, 316

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29751222/2

Therefore the LCM of Fractions 59/462,687/850,734/632 is 14875611

Greatest Common Factor of 462,850,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,850,632 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 462,850,632 . The biggest common factor number is the GCF number.
So the greatest common factor 462,850,632 is 2.


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 59/462, 687/850, 734/632

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 59/462, 687/850, 734/632?

Answer: LCM of Numerators as per given numbers 59/462, 687/850, 734/632 is

LCM of Numerators i.e. for 59,687,734 is 29751222

GCF of denominators i.e. for 462,850,632 is 2.

Thus, LCM of Fractions is 14875611.Finally, LCM of Fractions for 59/462, 687/850, 734/632 is 14875611.