Least Common Multiple of 149/95, 112/58, 254/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/95, 112/58, 254/283 quickly i.e. 2119376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/95, 112/58, 254/283 is 2119376.

LCM(149/95, 112/58, 254/283) = 2119376

LCM of 149/95, 112/58, 254/283

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 149/95,112/58,254/283

Given numbers are 149/95,112/58,254/283

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 149,112,254

Least Common Multiple of Numerators i.e. LCM of 149,112,254 is 2119376.

GCF of Denominators means GCF of 95,58,283 as per the given fractions.

GCF of 95,58,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,112,254

LCM of Fractions 149/95,112/58,254/283 is 2119376

2 149, 112, 254
149, 56, 127

∴ So the LCM of the given numbers is 2 x 149 x 56 x 127 = 2119376

Least Common Multiple of 149,112,254 with GCF Formula

Least Common Multiple of 149,112,254 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 149,112,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,112,254) = 1

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

GCF(149,112,254) x common factors =1 x 2 = 2

LCM(149,112,254) = ( 149 × 112 × 254 ) / 2

LCM(149,112,254) = 4238752 / 2

LCM(149,112,254) = 2119376


Lets's calculate GCF of 95,58,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2119376/1

Therefore the LCM of Fractions 149/95,112/58,254/283 is 2119376

Greatest Common Factor of 95,58,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,58,283 By Matching Biggest Common Factor Method

Factors of 95

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

1,5,19,95

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 95,58,283 . The biggest common factor number is the GCF number.
So the greatest common factor 95,58,283 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 149/95, 112/58, 254/283

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 149/95, 112/58, 254/283?

Answer: LCM of Numerators as per given numbers 149/95, 112/58, 254/283 is

LCM of Numerators i.e. for 149,112,254 is 2119376

GCF of denominators i.e. for 95,58,283 is 1.

Thus, LCM of Fractions is 2119376.Finally, LCM of Fractions for 149/95, 112/58, 254/283 is 2119376.