Least Common Multiple of 55/73, 360/86, 301/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/73, 360/86, 301/570 quickly i.e. 1191960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/73, 360/86, 301/570 is 1191960.

LCM(55/73, 360/86, 301/570) = 1191960

LCM of 55/73, 360/86, 301/570

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 55/73,360/86,301/570

Given numbers are 55/73,360/86,301/570

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 55,360,301

Least Common Multiple of Numerators i.e. LCM of 55,360,301 is 1191960.

GCF of Denominators means GCF of 73,86,570 as per the given fractions.

GCF of 73,86,570 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,360,301

LCM of Fractions 55/73,360/86,301/570 is 1191960

5 55, 360, 301
11, 72, 301

∴ So the LCM of the given numbers is 5 x 11 x 72 x 301 = 1191960

Least Common Multiple of 55,360,301 with GCF Formula

Least Common Multiple of 55,360,301 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 55,360,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,360,301) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,360,301) x common factors =1 x 5 = 5

LCM(55,360,301) = ( 55 × 360 × 301 ) / 5

LCM(55,360,301) = 5959800 / 5

LCM(55,360,301) = 1191960


Lets's calculate GCF of 73,86,570

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1191960/1

Therefore the LCM of Fractions 55/73,360/86,301/570 is 1191960

Greatest Common Factor of 73,86,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,86,570 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 73,86,570 . The biggest common factor number is the GCF number.
So the greatest common factor 73,86,570 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 55/73, 360/86, 301/570

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 55/73, 360/86, 301/570?

Answer: LCM of Numerators as per given numbers 55/73, 360/86, 301/570 is

LCM of Numerators i.e. for 55,360,301 is 1191960

GCF of denominators i.e. for 73,86,570 is 1.

Thus, LCM of Fractions is 1191960.Finally, LCM of Fractions for 55/73, 360/86, 301/570 is 1191960.