Least Common Multiple of 8352/144, 3450/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8352/144, 3450/756 quickly i.e. 133400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8352/144, 3450/756 is 133400.

LCM(8352/144, 3450/756) = 133400

LCM of 8352/144, 3450/756

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 8352/144,3450/756

Given numbers are 8352/144,3450/756

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 8352,3450

Least Common Multiple of Numerators i.e. LCM of 8352,3450 is 4802400.

GCF of Denominators means GCF of 144,756 as per the given fractions.

GCF of 144,756 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8352,3450

LCM of Fractions 8352/144,3450/756 is 133400

2 8352, 3450
3 4176, 1725
1392, 575

∴ So the LCM of the given numbers is 2 x 3 x 1392 x 575 = 4802400

Least Common Multiple of 8352,3450 with GCF Formula

Least Common Multiple of 8352,3450 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 8352,3450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8352,3450) = 6

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

GCF(8352,3450) x common factors =6 x 1 = 6

LCM(8352,3450) = ( 8352 × 3450 ) / 6

LCM(8352,3450) = 28814400 / 6

LCM(8352,3450) = 4802400


Lets's calculate GCF of 144,756

2 144, 756
2 72, 378
3 36, 189
3 12, 63
4, 21

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4802400/36

Therefore the LCM of Fractions 8352/144,3450/756 is 133400

Greatest Common Factor of 144,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,756 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 144,756 . The biggest common factor number is the GCF number.
So the greatest common factor 144,756 is 36.


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 8352/144, 3450/756

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 8352/144, 3450/756?

Answer: LCM of Numerators as per given numbers 8352/144, 3450/756 is

LCM of Numerators i.e. for 8352,3450 is 4802400

GCF of denominators i.e. for 144,756 is 36.

Thus, LCM of Fractions is 133400.Finally, LCM of Fractions for 8352/144, 3450/756 is 133400.