Least Common Multiple of 59/843, 46/874, 351/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/843, 46/874, 351/575 quickly i.e. 952614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/843, 46/874, 351/575 is 952614.

LCM(59/843, 46/874, 351/575) = 952614

LCM of 59/843, 46/874, 351/575

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 59/843,46/874,351/575

Given numbers are 59/843,46/874,351/575

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 59,46,351

Least Common Multiple of Numerators i.e. LCM of 59,46,351 is 952614.

GCF of Denominators means GCF of 843,874,575 as per the given fractions.

GCF of 843,874,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,46,351

LCM of Fractions 59/843,46/874,351/575 is 952614

Given numbers has no common factors except 1. So, there LCM is their product i.e 952614

Least Common Multiple of 59,46,351 with GCF Formula

Least Common Multiple of 59,46,351 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 59,46,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,46,351) = 1

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

GCF(59,46,351) x common factors =1 x 1 = 1

LCM(59,46,351) = ( 59 × 46 × 351 ) / 1

LCM(59,46,351) = 952614 / 1

LCM(59,46,351) = 952614


Lets's calculate GCF of 843,874,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 952614/1

Therefore the LCM of Fractions 59/843,46/874,351/575 is 952614

Greatest Common Factor of 843,874,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,874,575 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 843,874,575 . The biggest common factor number is the GCF number.
So the greatest common factor 843,874,575 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 59/843, 46/874, 351/575

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 59/843, 46/874, 351/575?

Answer: LCM of Numerators as per given numbers 59/843, 46/874, 351/575 is

LCM of Numerators i.e. for 59,46,351 is 952614

GCF of denominators i.e. for 843,874,575 is 1.

Thus, LCM of Fractions is 952614.Finally, LCM of Fractions for 59/843, 46/874, 351/575 is 952614.