Least Common Multiple of 148/480, 9362/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 148/480, 9362/387 quickly i.e. 692788/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 148/480, 9362/387 is 692788/3.

LCM(148/480, 9362/387) = 692788/3

LCM of 148/480, 9362/387

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 148/480,9362/387

Given numbers are 148/480,9362/387

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 148,9362

Least Common Multiple of Numerators i.e. LCM of 148,9362 is 692788.

GCF of Denominators means GCF of 480,387 as per the given fractions.

GCF of 480,387 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 148,9362

LCM of Fractions 148/480,9362/387 is 692788/3

2 148, 9362
74, 4681

∴ So the LCM of the given numbers is 2 x 74 x 4681 = 692788

Least Common Multiple of 148,9362 with GCF Formula

Least Common Multiple of 148,9362 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 148,9362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,9362) = 2

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

GCF(148,9362) x common factors =2 x 1 = 2

LCM(148,9362) = ( 148 × 9362 ) / 2

LCM(148,9362) = 1385576 / 2

LCM(148,9362) = 692788


Lets's calculate GCF of 480,387

3 480, 387
160, 129

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 692788/3

Therefore the LCM of Fractions 148/480,9362/387 is 692788/3

Greatest Common Factor of 480,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,387 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

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

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 480,387 . The biggest common factor number is the GCF number.
So the greatest common factor 480,387 is 3.


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 148/480, 9362/387

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 148/480, 9362/387?

Answer: LCM of Numerators as per given numbers 148/480, 9362/387 is

LCM of Numerators i.e. for 148,9362 is 692788

GCF of denominators i.e. for 480,387 is 3.

Thus, LCM of Fractions is 692788/3.Finally, LCM of Fractions for 148/480, 9362/387 is 692788/3.