Know Least Common Multiple of fractions 70/34, 90/170, 140/225 quickly i.e. 1260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/34, 90/170, 140/225 is **1260**.

LCM(70/34, 90/170, 140/225) = 1260

Enter two or more fractions separated by **"commas"**

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

Given numbers are 70/34,90/170,140/225

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 70,90,140

Least Common Multiple of Numerators i.e. LCM of 70,90,140 is 1260.

GCF of Denominators means GCF of 34,170,225 as per the given fractions.

GCF of 34,170,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,90,140

2 | 70, 90, 140 |

5 | 35, 45, 70 |

7 | 7, 9, 14 |

1, 9, 2 |

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 9 x 2 = 1260

The formula of **LCM** is LCM(a_{1},a_{2},a_{3}....,a_{n}) = ( a_{1} × a_{2} × a_{3} × .... × a_{n}) / GCF(a_{1},a_{2},a_{3}....,a_{n}) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 70,90,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,90,140) = 10

common factors(in case of two or more numbers have common factors) = 70

GCF(70,90,140) x common factors =10 x 70 = 700

LCM(70,90,140) = ( 70 × 90 × 140 ) / 700

LCM(70,90,140) = 882000 / 700

LCM(70,90,140) = 1260

Lets's calculate GCF of 34,170,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260/1

Therefore the LCM of Fractions 70/34,90/170,140/225 is 1260

**Factors of 34**

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

**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 225**

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

**Greatest Common Factor**

We found the factors 34,170,225 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 34,170,225 ** is **1**.

Here are some samples of LCM of Fractions calculations.

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 70/34, 90/170, 140/225?

Answer: LCM of Numerators as per given numbers 70/34, 90/170, 140/225 is

LCM of Numerators i.e. for 70,90,140 is 1260

GCF of denominators i.e. for 34,170,225 is 1.

Thus, LCM of Fractions is 1260.Finally, LCM of Fractions for 70/34, 90/170, 140/225 is 1260.