Least Common Multiple of 35/999, 41/601, 612/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/999, 41/601, 612/333 quickly i.e. 878220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/999, 41/601, 612/333 is 878220.

LCM(35/999, 41/601, 612/333) = 878220

LCM of 35/999, 41/601, 612/333

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 35/999,41/601,612/333

Given numbers are 35/999,41/601,612/333

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 35,41,612

Least Common Multiple of Numerators i.e. LCM of 35,41,612 is 878220.

GCF of Denominators means GCF of 999,601,333 as per the given fractions.

GCF of 999,601,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,41,612

LCM of Fractions 35/999,41/601,612/333 is 878220

Given numbers has no common factors except 1. So, there LCM is their product i.e 878220

Least Common Multiple of 35,41,612 with GCF Formula

Least Common Multiple of 35,41,612 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 35,41,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,41,612) = 1

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

GCF(35,41,612) x common factors =1 x 1 = 1

LCM(35,41,612) = ( 35 × 41 × 612 ) / 1

LCM(35,41,612) = 878220 / 1

LCM(35,41,612) = 878220


Lets's calculate GCF of 999,601,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 878220/1

Therefore the LCM of Fractions 35/999,41/601,612/333 is 878220

Greatest Common Factor of 999,601,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,601,333 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 999,601,333 . The biggest common factor number is the GCF number.
So the greatest common factor 999,601,333 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 35/999, 41/601, 612/333

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 35/999, 41/601, 612/333?

Answer: LCM of Numerators as per given numbers 35/999, 41/601, 612/333 is

LCM of Numerators i.e. for 35,41,612 is 878220

GCF of denominators i.e. for 999,601,333 is 1.

Thus, LCM of Fractions is 878220.Finally, LCM of Fractions for 35/999, 41/601, 612/333 is 878220.