Least Common Multiple of 34/428, 20/270, 167/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/428, 20/270, 167/775 quickly i.e. 56780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/428, 20/270, 167/775 is 56780.

LCM(34/428, 20/270, 167/775) = 56780

LCM of 34/428, 20/270, 167/775

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 34/428,20/270,167/775

Given numbers are 34/428,20/270,167/775

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 34,20,167

Least Common Multiple of Numerators i.e. LCM of 34,20,167 is 56780.

GCF of Denominators means GCF of 428,270,775 as per the given fractions.

GCF of 428,270,775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,20,167

LCM of Fractions 34/428,20/270,167/775 is 56780

2 34, 20, 167
17, 10, 167

∴ So the LCM of the given numbers is 2 x 17 x 10 x 167 = 56780

Least Common Multiple of 34,20,167 with GCF Formula

Least Common Multiple of 34,20,167 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 34,20,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,20,167) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,20,167) x common factors =1 x 2 = 2

LCM(34,20,167) = ( 34 × 20 × 167 ) / 2

LCM(34,20,167) = 113560 / 2

LCM(34,20,167) = 56780


Lets's calculate GCF of 428,270,775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56780/1

Therefore the LCM of Fractions 34/428,20/270,167/775 is 56780

Greatest Common Factor of 428,270,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,270,775 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 428,270,775 . The biggest common factor number is the GCF number.
So the greatest common factor 428,270,775 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 34/428, 20/270, 167/775

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 34/428, 20/270, 167/775?

Answer: LCM of Numerators as per given numbers 34/428, 20/270, 167/775 is

LCM of Numerators i.e. for 34,20,167 is 56780

GCF of denominators i.e. for 428,270,775 is 1.

Thus, LCM of Fractions is 56780.Finally, LCM of Fractions for 34/428, 20/270, 167/775 is 56780.