Least Common Multiple of 13/254, 170/920, 691/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/254, 170/920, 691/302 quickly i.e. 763555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/254, 170/920, 691/302 is 763555.

LCM(13/254, 170/920, 691/302) = 763555

LCM of 13/254, 170/920, 691/302

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 13/254,170/920,691/302

Given numbers are 13/254,170/920,691/302

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 13,170,691

Least Common Multiple of Numerators i.e. LCM of 13,170,691 is 1527110.

GCF of Denominators means GCF of 254,920,302 as per the given fractions.

GCF of 254,920,302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,170,691

LCM of Fractions 13/254,170/920,691/302 is 763555

Given numbers has no common factors except 1. So, there LCM is their product i.e 1527110

Least Common Multiple of 13,170,691 with GCF Formula

Least Common Multiple of 13,170,691 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 13,170,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,170,691) = 1

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

GCF(13,170,691) x common factors =1 x 1 = 1

LCM(13,170,691) = ( 13 × 170 × 691 ) / 1

LCM(13,170,691) = 1527110 / 1

LCM(13,170,691) = 1527110


Lets's calculate GCF of 254,920,302

2 254, 920, 302
127, 460, 151

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1527110/2

Therefore the LCM of Fractions 13/254,170/920,691/302 is 763555

Greatest Common Factor of 254,920,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,920,302 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 254,920,302 . The biggest common factor number is the GCF number.
So the greatest common factor 254,920,302 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/254, 170/920, 691/302

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 13/254, 170/920, 691/302?

Answer: LCM of Numerators as per given numbers 13/254, 170/920, 691/302 is

LCM of Numerators i.e. for 13,170,691 is 1527110

GCF of denominators i.e. for 254,920,302 is 2.

Thus, LCM of Fractions is 763555.Finally, LCM of Fractions for 13/254, 170/920, 691/302 is 763555.