Least Common Multiple of 147/48, 467/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 147/48, 467/755 quickly i.e. 68649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/48, 467/755 is 68649.

LCM(147/48, 467/755) = 68649

LCM of 147/48, 467/755

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 147/48,467/755

Given numbers are 147/48,467/755

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 147,467

Least Common Multiple of Numerators i.e. LCM of 147,467 is 68649.

GCF of Denominators means GCF of 48,755 as per the given fractions.

GCF of 48,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,467

LCM of Fractions 147/48,467/755 is 68649

Given numbers has no common factors except 1. So, there LCM is their product i.e 68649

Least Common Multiple of 147,467 with GCF Formula

Least Common Multiple of 147,467 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 147,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,467) = 1

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

GCF(147,467) x common factors =1 x 1 = 1

LCM(147,467) = ( 147 × 467 ) / 1

LCM(147,467) = 68649 / 1

LCM(147,467) = 68649


Lets's calculate GCF of 48,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68649/1

Therefore the LCM of Fractions 147/48,467/755 is 68649

Greatest Common Factor of 48,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,755 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 48,755 . The biggest common factor number is the GCF number.
So the greatest common factor 48,755 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 147/48, 467/755

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 147/48, 467/755?

Answer: LCM of Numerators as per given numbers 147/48, 467/755 is

LCM of Numerators i.e. for 147,467 is 68649

GCF of denominators i.e. for 48,755 is 1.

Thus, LCM of Fractions is 68649.Finally, LCM of Fractions for 147/48, 467/755 is 68649.