Least Common Multiple of 147/49, 675/4380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/49, 675/4380 quickly i.e. 33075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/49, 675/4380 is 33075.

LCM(147/49, 675/4380) = 33075

LCM of 147/49, 675/4380

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 147/49,675/4380

Given numbers are 147/49,675/4380

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 147,675

Least Common Multiple of Numerators i.e. LCM of 147,675 is 33075.

GCF of Denominators means GCF of 49,4380 as per the given fractions.

GCF of 49,4380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,675

LCM of Fractions 147/49,675/4380 is 33075

3 147, 675
49, 225

∴ So the LCM of the given numbers is 3 x 49 x 225 = 33075

Least Common Multiple of 147,675 with GCF Formula

Least Common Multiple of 147,675 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 147,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,675) = 3

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

GCF(147,675) x common factors =3 x 1 = 3

LCM(147,675) = ( 147 × 675 ) / 3

LCM(147,675) = 99225 / 3

LCM(147,675) = 33075


Lets's calculate GCF of 49,4380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33075/1

Therefore the LCM of Fractions 147/49,675/4380 is 33075

Greatest Common Factor of 49,4380 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,4380 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 4380

List of positive integer factors of 4380 that divides 4380 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380

Greatest Common Factor

We found the factors 49,4380 . The biggest common factor number is the GCF number.
So the greatest common factor 49,4380 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 147/49, 675/4380

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 147/49, 675/4380?

Answer: LCM of Numerators as per given numbers 147/49, 675/4380 is

LCM of Numerators i.e. for 147,675 is 33075

GCF of denominators i.e. for 49,4380 is 1.

Thus, LCM of Fractions is 33075.Finally, LCM of Fractions for 147/49, 675/4380 is 33075.