Least Common Multiple of 5046/173, 3472/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5046/173, 3472/756 quickly i.e. 8759856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5046/173, 3472/756 is 8759856.

LCM(5046/173, 3472/756) = 8759856

LCM of 5046/173, 3472/756

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 5046/173,3472/756

Given numbers are 5046/173,3472/756

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 5046,3472

Least Common Multiple of Numerators i.e. LCM of 5046,3472 is 8759856.

GCF of Denominators means GCF of 173,756 as per the given fractions.

GCF of 173,756 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5046,3472

LCM of Fractions 5046/173,3472/756 is 8759856

2 5046, 3472
2523, 1736

∴ So the LCM of the given numbers is 2 x 2523 x 1736 = 8759856

Least Common Multiple of 5046,3472 with GCF Formula

Least Common Multiple of 5046,3472 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 5046,3472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5046,3472) = 2

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

GCF(5046,3472) x common factors =2 x 1 = 2

LCM(5046,3472) = ( 5046 × 3472 ) / 2

LCM(5046,3472) = 17519712 / 2

LCM(5046,3472) = 8759856


Lets's calculate GCF of 173,756

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8759856/1

Therefore the LCM of Fractions 5046/173,3472/756 is 8759856

Greatest Common Factor of 173,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,756 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

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 173,756 . The biggest common factor number is the GCF number.
So the greatest common factor 173,756 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 5046/173, 3472/756

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 5046/173, 3472/756?

Answer: LCM of Numerators as per given numbers 5046/173, 3472/756 is

LCM of Numerators i.e. for 5046,3472 is 8759856

GCF of denominators i.e. for 173,756 is 1.

Thus, LCM of Fractions is 8759856.Finally, LCM of Fractions for 5046/173, 3472/756 is 8759856.