Least Common Multiple of 75/86, 106/56, 871/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/86, 106/56, 871/414 quickly i.e. 3462225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/86, 106/56, 871/414 is 3462225.

LCM(75/86, 106/56, 871/414) = 3462225

LCM of 75/86, 106/56, 871/414

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 75/86,106/56,871/414

Given numbers are 75/86,106/56,871/414

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 75,106,871

Least Common Multiple of Numerators i.e. LCM of 75,106,871 is 6924450.

GCF of Denominators means GCF of 86,56,414 as per the given fractions.

GCF of 86,56,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,106,871

LCM of Fractions 75/86,106/56,871/414 is 3462225

Given numbers has no common factors except 1. So, there LCM is their product i.e 6924450

Least Common Multiple of 75,106,871 with GCF Formula

Least Common Multiple of 75,106,871 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 75,106,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,106,871) = 1

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

GCF(75,106,871) x common factors =1 x 1 = 1

LCM(75,106,871) = ( 75 × 106 × 871 ) / 1

LCM(75,106,871) = 6924450 / 1

LCM(75,106,871) = 6924450


Lets's calculate GCF of 86,56,414

2 86, 56, 414
43, 28, 207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6924450/2

Therefore the LCM of Fractions 75/86,106/56,871/414 is 3462225

Greatest Common Factor of 86,56,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,56,414 By Matching Biggest Common Factor Method

Factors of 86

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

1,2,43,86

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 86,56,414 . The biggest common factor number is the GCF number.
So the greatest common factor 86,56,414 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 75/86, 106/56, 871/414

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 75/86, 106/56, 871/414?

Answer: LCM of Numerators as per given numbers 75/86, 106/56, 871/414 is

LCM of Numerators i.e. for 75,106,871 is 6924450

GCF of denominators i.e. for 86,56,414 is 2.

Thus, LCM of Fractions is 3462225.Finally, LCM of Fractions for 75/86, 106/56, 871/414 is 3462225.