Least Common Multiple of 55/131, 17/170, 362/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/131, 17/170, 362/577 quickly i.e. 338470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/131, 17/170, 362/577 is 338470.

LCM(55/131, 17/170, 362/577) = 338470

LCM of 55/131, 17/170, 362/577

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 55/131,17/170,362/577

Given numbers are 55/131,17/170,362/577

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 55,17,362

Least Common Multiple of Numerators i.e. LCM of 55,17,362 is 338470.

GCF of Denominators means GCF of 131,170,577 as per the given fractions.

GCF of 131,170,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,17,362

LCM of Fractions 55/131,17/170,362/577 is 338470

Given numbers has no common factors except 1. So, there LCM is their product i.e 338470

Least Common Multiple of 55,17,362 with GCF Formula

Least Common Multiple of 55,17,362 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 55,17,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,17,362) = 1

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

GCF(55,17,362) x common factors =1 x 1 = 1

LCM(55,17,362) = ( 55 × 17 × 362 ) / 1

LCM(55,17,362) = 338470 / 1

LCM(55,17,362) = 338470


Lets's calculate GCF of 131,170,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338470/1

Therefore the LCM of Fractions 55/131,17/170,362/577 is 338470

Greatest Common Factor of 131,170,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,170,577 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 131,170,577 . The biggest common factor number is the GCF number.
So the greatest common factor 131,170,577 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 55/131, 17/170, 362/577

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 55/131, 17/170, 362/577?

Answer: LCM of Numerators as per given numbers 55/131, 17/170, 362/577 is

LCM of Numerators i.e. for 55,17,362 is 338470

GCF of denominators i.e. for 131,170,577 is 1.

Thus, LCM of Fractions is 338470.Finally, LCM of Fractions for 55/131, 17/170, 362/577 is 338470.