Know Least Common Multiple of fractions 75/175, 125/343, 150/490 quickly i.e. 750/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/175, 125/343, 150/490 is **750/7**.

LCM(75/175, 125/343, 150/490) = 750/7

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

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

Given numbers are 75/175,125/343,150/490

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 75,125,150

Least Common Multiple of Numerators i.e. LCM of 75,125,150 is 750.

GCF of Denominators means GCF of 175,343,490 as per the given fractions.

GCF of 175,343,490 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,125,150

3 | 75, 125, 150 |

5 | 25, 125, 50 |

5 | 5, 25, 10 |

1, 5, 2 |

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 5 x 2 = 750

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 75,125,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,125,150) = 25

common factors(in case of two or more numbers have common factors) = 75

GCF(75,125,150) x common factors =25 x 75 = 1875

LCM(75,125,150) = ( 75 × 125 × 150 ) / 1875

LCM(75,125,150) = 1406250 / 1875

LCM(75,125,150) = 750

Lets's calculate GCF of 175,343,490

7 | 175, 343, 490 |

25, 49, 70 |

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 750/7

Therefore the LCM of Fractions 75/175,125/343,150/490 is 750/7

**Factors of 175**

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

**Factors of 343**

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

**Factors of 490**

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

**Greatest Common Factor**

We found the factors 175,343,490 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 175,343,490 ** is **7**.

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 75/175, 125/343, 150/490?

Answer: LCM of Numerators as per given numbers 75/175, 125/343, 150/490 is

LCM of Numerators i.e. for 75,125,150 is 750

GCF of denominators i.e. for 175,343,490 is 7.

Thus, LCM of Fractions is 750/7.Finally, LCM of Fractions for 75/175, 125/343, 150/490 is 750/7.