Least Common Multiple of 149/10, 138/96, 590/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/10, 138/96, 590/460 quickly i.e. 3032895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/10, 138/96, 590/460 is 3032895.

LCM(149/10, 138/96, 590/460) = 3032895

LCM of 149/10, 138/96, 590/460

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 149/10,138/96,590/460

Given numbers are 149/10,138/96,590/460

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 149,138,590

Least Common Multiple of Numerators i.e. LCM of 149,138,590 is 6065790.

GCF of Denominators means GCF of 10,96,460 as per the given fractions.

GCF of 10,96,460 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,138,590

LCM of Fractions 149/10,138/96,590/460 is 3032895

2 149, 138, 590
149, 69, 295

∴ So the LCM of the given numbers is 2 x 149 x 69 x 295 = 6065790

Least Common Multiple of 149,138,590 with GCF Formula

Least Common Multiple of 149,138,590 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 149,138,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,138,590) = 1

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

GCF(149,138,590) x common factors =1 x 2 = 2

LCM(149,138,590) = ( 149 × 138 × 590 ) / 2

LCM(149,138,590) = 12131580 / 2

LCM(149,138,590) = 6065790


Lets's calculate GCF of 10,96,460

2 10, 96, 460
5, 48, 230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6065790/2

Therefore the LCM of Fractions 149/10,138/96,590/460 is 3032895

Greatest Common Factor of 10,96,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,96,460 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 10,96,460 . The biggest common factor number is the GCF number.
So the greatest common factor 10,96,460 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 149/10, 138/96, 590/460

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 149/10, 138/96, 590/460?

Answer: LCM of Numerators as per given numbers 149/10, 138/96, 590/460 is

LCM of Numerators i.e. for 149,138,590 is 6065790

GCF of denominators i.e. for 10,96,460 is 2.

Thus, LCM of Fractions is 3032895.Finally, LCM of Fractions for 149/10, 138/96, 590/460 is 3032895.