Least Common Multiple of 147/44, 430/42, 493/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/44, 430/42, 493/960 quickly i.e. 15581265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/44, 430/42, 493/960 is 15581265.

LCM(147/44, 430/42, 493/960) = 15581265

LCM of 147/44, 430/42, 493/960

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 147/44,430/42,493/960

Given numbers are 147/44,430/42,493/960

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 147,430,493

Least Common Multiple of Numerators i.e. LCM of 147,430,493 is 31162530.

GCF of Denominators means GCF of 44,42,960 as per the given fractions.

GCF of 44,42,960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,430,493

LCM of Fractions 147/44,430/42,493/960 is 15581265

Given numbers has no common factors except 1. So, there LCM is their product i.e 31162530

Least Common Multiple of 147,430,493 with GCF Formula

Least Common Multiple of 147,430,493 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 147,430,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,430,493) = 1

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

GCF(147,430,493) x common factors =1 x 1 = 1

LCM(147,430,493) = ( 147 × 430 × 493 ) / 1

LCM(147,430,493) = 31162530 / 1

LCM(147,430,493) = 31162530


Lets's calculate GCF of 44,42,960

2 44, 42, 960
22, 21, 480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31162530/2

Therefore the LCM of Fractions 147/44,430/42,493/960 is 15581265

Greatest Common Factor of 44,42,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,42,960 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 44,42,960 . The biggest common factor number is the GCF number.
So the greatest common factor 44,42,960 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 147/44, 430/42, 493/960

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 147/44, 430/42, 493/960?

Answer: LCM of Numerators as per given numbers 147/44, 430/42, 493/960 is

LCM of Numerators i.e. for 147,430,493 is 31162530

GCF of denominators i.e. for 44,42,960 is 2.

Thus, LCM of Fractions is 15581265.Finally, LCM of Fractions for 147/44, 430/42, 493/960 is 15581265.