Least Common Multiple of 556/788, 9730/3729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 556/788, 9730/3729 quickly i.e. 19460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/788, 9730/3729 is 19460.

LCM(556/788, 9730/3729) = 19460

LCM of 556/788, 9730/3729

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 556/788,9730/3729

Given numbers are 556/788,9730/3729

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 556,9730

Least Common Multiple of Numerators i.e. LCM of 556,9730 is 19460.

GCF of Denominators means GCF of 788,3729 as per the given fractions.

GCF of 788,3729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,9730

LCM of Fractions 556/788,9730/3729 is 19460

2 556, 9730
139 278, 4865
2, 35

∴ So the LCM of the given numbers is 2 x 139 x 2 x 35 = 19460

Least Common Multiple of 556,9730 with GCF Formula

Least Common Multiple of 556,9730 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 556,9730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,9730) = 278

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

GCF(556,9730) x common factors =278 x 1 = 278

LCM(556,9730) = ( 556 × 9730 ) / 278

LCM(556,9730) = 5409880 / 278

LCM(556,9730) = 19460


Lets's calculate GCF of 788,3729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19460/1

Therefore the LCM of Fractions 556/788,9730/3729 is 19460

Greatest Common Factor of 788,3729 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,3729 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 3729

List of positive integer factors of 3729 that divides 3729 without a remainder.

1,3,11,33,113,339,1243,3729

Greatest Common Factor

We found the factors 788,3729 . The biggest common factor number is the GCF number.
So the greatest common factor 788,3729 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 556/788, 9730/3729

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 556/788, 9730/3729?

Answer: LCM of Numerators as per given numbers 556/788, 9730/3729 is

LCM of Numerators i.e. for 556,9730 is 19460

GCF of denominators i.e. for 788,3729 is 1.

Thus, LCM of Fractions is 19460.Finally, LCM of Fractions for 556/788, 9730/3729 is 19460.