Least Common Multiple of 67/346, 75/935, 775/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/346, 75/935, 775/208 quickly i.e. 155775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/346, 75/935, 775/208 is 155775.

LCM(67/346, 75/935, 775/208) = 155775

LCM of 67/346, 75/935, 775/208

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 67/346,75/935,775/208

Given numbers are 67/346,75/935,775/208

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 67,75,775

Least Common Multiple of Numerators i.e. LCM of 67,75,775 is 155775.

GCF of Denominators means GCF of 346,935,208 as per the given fractions.

GCF of 346,935,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,75,775

LCM of Fractions 67/346,75/935,775/208 is 155775

5 67, 75, 775
5 67, 15, 155
67, 3, 31

∴ So the LCM of the given numbers is 5 x 5 x 67 x 3 x 31 = 155775

Least Common Multiple of 67,75,775 with GCF Formula

Least Common Multiple of 67,75,775 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 67,75,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,75,775) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(67,75,775) x common factors =1 x 25 = 25

LCM(67,75,775) = ( 67 × 75 × 775 ) / 25

LCM(67,75,775) = 3894375 / 25

LCM(67,75,775) = 155775


Lets's calculate GCF of 346,935,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155775/1

Therefore the LCM of Fractions 67/346,75/935,775/208 is 155775

Greatest Common Factor of 346,935,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,935,208 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 346,935,208 . The biggest common factor number is the GCF number.
So the greatest common factor 346,935,208 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 67/346, 75/935, 775/208

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 67/346, 75/935, 775/208?

Answer: LCM of Numerators as per given numbers 67/346, 75/935, 775/208 is

LCM of Numerators i.e. for 67,75,775 is 155775

GCF of denominators i.e. for 346,935,208 is 1.

Thus, LCM of Fractions is 155775.Finally, LCM of Fractions for 67/346, 75/935, 775/208 is 155775.