Least Common Multiple of 7/105, 34/255, 67/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/105, 34/255, 67/362 quickly i.e. 15946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/105, 34/255, 67/362 is 15946.

LCM(7/105, 34/255, 67/362) = 15946

LCM of 7/105, 34/255, 67/362

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 7/105,34/255,67/362

Given numbers are 7/105,34/255,67/362

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 7,34,67

Least Common Multiple of Numerators i.e. LCM of 7,34,67 is 15946.

GCF of Denominators means GCF of 105,255,362 as per the given fractions.

GCF of 105,255,362 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,34,67

LCM of Fractions 7/105,34/255,67/362 is 15946

Given numbers has no common factors except 1. So, there LCM is their product i.e 15946

Least Common Multiple of 7,34,67 with GCF Formula

Least Common Multiple of 7,34,67 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 7,34,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,34,67) = 1

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

GCF(7,34,67) x common factors =1 x 1 = 1

LCM(7,34,67) = ( 7 × 34 × 67 ) / 1

LCM(7,34,67) = 15946 / 1

LCM(7,34,67) = 15946


Lets's calculate GCF of 105,255,362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15946/1

Therefore the LCM of Fractions 7/105,34/255,67/362 is 15946

Greatest Common Factor of 105,255,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,255,362 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 105,255,362 . The biggest common factor number is the GCF number.
So the greatest common factor 105,255,362 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 7/105, 34/255, 67/362

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 7/105, 34/255, 67/362?

Answer: LCM of Numerators as per given numbers 7/105, 34/255, 67/362 is

LCM of Numerators i.e. for 7,34,67 is 15946

GCF of denominators i.e. for 105,255,362 is 1.

Thus, LCM of Fractions is 15946.Finally, LCM of Fractions for 7/105, 34/255, 67/362 is 15946.