Least Common Multiple of 147/42, 450/40, 824/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/42, 450/40, 824/704 quickly i.e. 4542300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/42, 450/40, 824/704 is 4542300.

LCM(147/42, 450/40, 824/704) = 4542300

LCM of 147/42, 450/40, 824/704

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 147/42,450/40,824/704

Given numbers are 147/42,450/40,824/704

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 147,450,824

Least Common Multiple of Numerators i.e. LCM of 147,450,824 is 9084600.

GCF of Denominators means GCF of 42,40,704 as per the given fractions.

GCF of 42,40,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,450,824

LCM of Fractions 147/42,450/40,824/704 is 4542300

2 147, 450, 824
3 147, 225, 412
49, 75, 412

∴ So the LCM of the given numbers is 2 x 3 x 49 x 75 x 412 = 9084600

Least Common Multiple of 147,450,824 with GCF Formula

Least Common Multiple of 147,450,824 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 147,450,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,450,824) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(147,450,824) x common factors =1 x 6 = 6

LCM(147,450,824) = ( 147 × 450 × 824 ) / 6

LCM(147,450,824) = 54507600 / 6

LCM(147,450,824) = 9084600


Lets's calculate GCF of 42,40,704

2 42, 40, 704
21, 20, 352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9084600/2

Therefore the LCM of Fractions 147/42,450/40,824/704 is 4542300

Greatest Common Factor of 42,40,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,40,704 By Matching Biggest Common Factor Method

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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 42,40,704 . The biggest common factor number is the GCF number.
So the greatest common factor 42,40,704 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 147/42, 450/40, 824/704

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 147/42, 450/40, 824/704?

Answer: LCM of Numerators as per given numbers 147/42, 450/40, 824/704 is

LCM of Numerators i.e. for 147,450,824 is 9084600

GCF of denominators i.e. for 42,40,704 is 2.

Thus, LCM of Fractions is 4542300.Finally, LCM of Fractions for 147/42, 450/40, 824/704 is 4542300.