Least Common Multiple of 85/42, 354/66, 583/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/42, 354/66, 583/111 quickly i.e. 5847490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/42, 354/66, 583/111 is 5847490.

LCM(85/42, 354/66, 583/111) = 5847490

LCM of 85/42, 354/66, 583/111

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 85/42,354/66,583/111

Given numbers are 85/42,354/66,583/111

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 85,354,583

Least Common Multiple of Numerators i.e. LCM of 85,354,583 is 17542470.

GCF of Denominators means GCF of 42,66,111 as per the given fractions.

GCF of 42,66,111 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,354,583

LCM of Fractions 85/42,354/66,583/111 is 5847490

Given numbers has no common factors except 1. So, there LCM is their product i.e 17542470

Least Common Multiple of 85,354,583 with GCF Formula

Least Common Multiple of 85,354,583 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 85,354,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,354,583) = 1

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

GCF(85,354,583) x common factors =1 x 1 = 1

LCM(85,354,583) = ( 85 × 354 × 583 ) / 1

LCM(85,354,583) = 17542470 / 1

LCM(85,354,583) = 17542470


Lets's calculate GCF of 42,66,111

3 42, 66, 111
14, 22, 37

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17542470/3

Therefore the LCM of Fractions 85/42,354/66,583/111 is 5847490

Greatest Common Factor of 42,66,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,66,111 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 42,66,111 . The biggest common factor number is the GCF number.
So the greatest common factor 42,66,111 is 3.


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 85/42, 354/66, 583/111

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 85/42, 354/66, 583/111?

Answer: LCM of Numerators as per given numbers 85/42, 354/66, 583/111 is

LCM of Numerators i.e. for 85,354,583 is 17542470

GCF of denominators i.e. for 42,66,111 is 3.

Thus, LCM of Fractions is 5847490.Finally, LCM of Fractions for 85/42, 354/66, 583/111 is 5847490.