Least Common Multiple of 107/412, 871/470, 937/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/412, 871/470, 937/329 quickly i.e. 87325589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/412, 871/470, 937/329 is 87325589.

LCM(107/412, 871/470, 937/329) = 87325589

LCM of 107/412, 871/470, 937/329

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 107/412,871/470,937/329

Given numbers are 107/412,871/470,937/329

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 107,871,937

Least Common Multiple of Numerators i.e. LCM of 107,871,937 is 87325589.

GCF of Denominators means GCF of 412,470,329 as per the given fractions.

GCF of 412,470,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,871,937

LCM of Fractions 107/412,871/470,937/329 is 87325589

Given numbers has no common factors except 1. So, there LCM is their product i.e 87325589

Least Common Multiple of 107,871,937 with GCF Formula

Least Common Multiple of 107,871,937 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 107,871,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,871,937) = 1

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

GCF(107,871,937) x common factors =1 x 1 = 1

LCM(107,871,937) = ( 107 × 871 × 937 ) / 1

LCM(107,871,937) = 87325589 / 1

LCM(107,871,937) = 87325589


Lets's calculate GCF of 412,470,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87325589/1

Therefore the LCM of Fractions 107/412,871/470,937/329 is 87325589

Greatest Common Factor of 412,470,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,470,329 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 412,470,329 . The biggest common factor number is the GCF number.
So the greatest common factor 412,470,329 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 107/412, 871/470, 937/329

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 107/412, 871/470, 937/329?

Answer: LCM of Numerators as per given numbers 107/412, 871/470, 937/329 is

LCM of Numerators i.e. for 107,871,937 is 87325589

GCF of denominators i.e. for 412,470,329 is 1.

Thus, LCM of Fractions is 87325589.Finally, LCM of Fractions for 107/412, 871/470, 937/329 is 87325589.