Least Common Multiple of 67/388, 770/609, 347/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/388, 770/609, 347/918 quickly i.e. 17901730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/388, 770/609, 347/918 is 17901730.

LCM(67/388, 770/609, 347/918) = 17901730

LCM of 67/388, 770/609, 347/918

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 67/388,770/609,347/918

Given numbers are 67/388,770/609,347/918

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 67,770,347

Least Common Multiple of Numerators i.e. LCM of 67,770,347 is 17901730.

GCF of Denominators means GCF of 388,609,918 as per the given fractions.

GCF of 388,609,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,770,347

LCM of Fractions 67/388,770/609,347/918 is 17901730

Given numbers has no common factors except 1. So, there LCM is their product i.e 17901730

Least Common Multiple of 67,770,347 with GCF Formula

Least Common Multiple of 67,770,347 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 67,770,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,770,347) = 1

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

GCF(67,770,347) x common factors =1 x 1 = 1

LCM(67,770,347) = ( 67 × 770 × 347 ) / 1

LCM(67,770,347) = 17901730 / 1

LCM(67,770,347) = 17901730


Lets's calculate GCF of 388,609,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17901730/1

Therefore the LCM of Fractions 67/388,770/609,347/918 is 17901730

Greatest Common Factor of 388,609,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,609,918 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 388,609,918 . The biggest common factor number is the GCF number.
So the greatest common factor 388,609,918 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 67/388, 770/609, 347/918

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 67/388, 770/609, 347/918?

Answer: LCM of Numerators as per given numbers 67/388, 770/609, 347/918 is

LCM of Numerators i.e. for 67,770,347 is 17901730

GCF of denominators i.e. for 388,609,918 is 1.

Thus, LCM of Fractions is 17901730.Finally, LCM of Fractions for 67/388, 770/609, 347/918 is 17901730.