Least Common Multiple of 270/584, 134/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/584, 134/750 quickly i.e. 9045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/584, 134/750 is 9045.

LCM(270/584, 134/750) = 9045

LCM of 270/584, 134/750

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 270/584,134/750

Given numbers are 270/584,134/750

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 270,134

Least Common Multiple of Numerators i.e. LCM of 270,134 is 18090.

GCF of Denominators means GCF of 584,750 as per the given fractions.

GCF of 584,750 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,134

LCM of Fractions 270/584,134/750 is 9045

2 270, 134
135, 67

∴ So the LCM of the given numbers is 2 x 135 x 67 = 18090

Least Common Multiple of 270,134 with GCF Formula

Least Common Multiple of 270,134 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 270,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,134) = 2

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

GCF(270,134) x common factors =2 x 1 = 2

LCM(270,134) = ( 270 × 134 ) / 2

LCM(270,134) = 36180 / 2

LCM(270,134) = 18090


Lets's calculate GCF of 584,750

2 584, 750
292, 375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18090/2

Therefore the LCM of Fractions 270/584,134/750 is 9045

Greatest Common Factor of 584,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,750 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 584,750 . The biggest common factor number is the GCF number.
So the greatest common factor 584,750 is 2.


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 270/584, 134/750

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 270/584, 134/750?

Answer: LCM of Numerators as per given numbers 270/584, 134/750 is

LCM of Numerators i.e. for 270,134 is 18090

GCF of denominators i.e. for 584,750 is 2.

Thus, LCM of Fractions is 9045.Finally, LCM of Fractions for 270/584, 134/750 is 9045.