Least Common Multiple of 55/374, 28/317, 367/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/374, 28/317, 367/101 quickly i.e. 565180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/374, 28/317, 367/101 is 565180.

LCM(55/374, 28/317, 367/101) = 565180

LCM of 55/374, 28/317, 367/101

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 55/374,28/317,367/101

Given numbers are 55/374,28/317,367/101

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 55,28,367

Least Common Multiple of Numerators i.e. LCM of 55,28,367 is 565180.

GCF of Denominators means GCF of 374,317,101 as per the given fractions.

GCF of 374,317,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,28,367

LCM of Fractions 55/374,28/317,367/101 is 565180

Given numbers has no common factors except 1. So, there LCM is their product i.e 565180

Least Common Multiple of 55,28,367 with GCF Formula

Least Common Multiple of 55,28,367 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 55,28,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,28,367) = 1

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

GCF(55,28,367) x common factors =1 x 1 = 1

LCM(55,28,367) = ( 55 × 28 × 367 ) / 1

LCM(55,28,367) = 565180 / 1

LCM(55,28,367) = 565180


Lets's calculate GCF of 374,317,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 565180/1

Therefore the LCM of Fractions 55/374,28/317,367/101 is 565180

Greatest Common Factor of 374,317,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,317,101 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 374,317,101 . The biggest common factor number is the GCF number.
So the greatest common factor 374,317,101 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 55/374, 28/317, 367/101

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 55/374, 28/317, 367/101?

Answer: LCM of Numerators as per given numbers 55/374, 28/317, 367/101 is

LCM of Numerators i.e. for 55,28,367 is 565180

GCF of denominators i.e. for 374,317,101 is 1.

Thus, LCM of Fractions is 565180.Finally, LCM of Fractions for 55/374, 28/317, 367/101 is 565180.