Least Common Multiple of 8/342, 14/143, 75/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/342, 14/143, 75/149 quickly i.e. 4200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/342, 14/143, 75/149 is 4200.

LCM(8/342, 14/143, 75/149) = 4200

LCM of 8/342, 14/143, 75/149

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 8/342,14/143,75/149

Given numbers are 8/342,14/143,75/149

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 8,14,75

Least Common Multiple of Numerators i.e. LCM of 8,14,75 is 4200.

GCF of Denominators means GCF of 342,143,149 as per the given fractions.

GCF of 342,143,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,14,75

LCM of Fractions 8/342,14/143,75/149 is 4200

2 8, 14, 75
4, 7, 75

∴ So the LCM of the given numbers is 2 x 4 x 7 x 75 = 4200

Least Common Multiple of 8,14,75 with GCF Formula

Least Common Multiple of 8,14,75 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 8,14,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,14,75) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(8,14,75) x common factors =1 x 2 = 2

LCM(8,14,75) = ( 8 × 14 × 75 ) / 2

LCM(8,14,75) = 8400 / 2

LCM(8,14,75) = 4200


Lets's calculate GCF of 342,143,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4200/1

Therefore the LCM of Fractions 8/342,14/143,75/149 is 4200

Greatest Common Factor of 342,143,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,143,149 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 342,143,149 . The biggest common factor number is the GCF number.
So the greatest common factor 342,143,149 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 8/342, 14/143, 75/149

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 8/342, 14/143, 75/149?

Answer: LCM of Numerators as per given numbers 8/342, 14/143, 75/149 is

LCM of Numerators i.e. for 8,14,75 is 4200

GCF of denominators i.e. for 342,143,149 is 1.

Thus, LCM of Fractions is 4200.Finally, LCM of Fractions for 8/342, 14/143, 75/149 is 4200.