Least Common Multiple of 234/70, 131/95, 399/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/70, 131/95, 399/170 quickly i.e. 4076982/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/70, 131/95, 399/170 is 4076982/5.

LCM(234/70, 131/95, 399/170) = 4076982/5

LCM of 234/70, 131/95, 399/170

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 234/70,131/95,399/170

Given numbers are 234/70,131/95,399/170

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 234,131,399

Least Common Multiple of Numerators i.e. LCM of 234,131,399 is 4076982.

GCF of Denominators means GCF of 70,95,170 as per the given fractions.

GCF of 70,95,170 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,131,399

LCM of Fractions 234/70,131/95,399/170 is 4076982/5

3 234, 131, 399
78, 131, 133

∴ So the LCM of the given numbers is 3 x 78 x 131 x 133 = 4076982

Least Common Multiple of 234,131,399 with GCF Formula

Least Common Multiple of 234,131,399 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 234,131,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,131,399) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(234,131,399) x common factors =1 x 3 = 3

LCM(234,131,399) = ( 234 × 131 × 399 ) / 3

LCM(234,131,399) = 12230946 / 3

LCM(234,131,399) = 4076982


Lets's calculate GCF of 70,95,170

5 70, 95, 170
14, 19, 34

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4076982/5

Therefore the LCM of Fractions 234/70,131/95,399/170 is 4076982/5

Greatest Common Factor of 70,95,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,95,170 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 70,95,170 . The biggest common factor number is the GCF number.
So the greatest common factor 70,95,170 is 5.


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 234/70, 131/95, 399/170

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 234/70, 131/95, 399/170?

Answer: LCM of Numerators as per given numbers 234/70, 131/95, 399/170 is

LCM of Numerators i.e. for 234,131,399 is 4076982

GCF of denominators i.e. for 70,95,170 is 5.

Thus, LCM of Fractions is 4076982/5.Finally, LCM of Fractions for 234/70, 131/95, 399/170 is 4076982/5.