Least Common Multiple of 5772/736, 3495/9830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5772/736, 3495/9830 quickly i.e. 3362190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5772/736, 3495/9830 is 3362190.

LCM(5772/736, 3495/9830) = 3362190

LCM of 5772/736, 3495/9830

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 5772/736,3495/9830

Given numbers are 5772/736,3495/9830

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 5772,3495

Least Common Multiple of Numerators i.e. LCM of 5772,3495 is 6724380.

GCF of Denominators means GCF of 736,9830 as per the given fractions.

GCF of 736,9830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5772,3495

LCM of Fractions 5772/736,3495/9830 is 3362190

3 5772, 3495
1924, 1165

∴ So the LCM of the given numbers is 3 x 1924 x 1165 = 6724380

Least Common Multiple of 5772,3495 with GCF Formula

Least Common Multiple of 5772,3495 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 5772,3495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5772,3495) = 3

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

GCF(5772,3495) x common factors =3 x 1 = 3

LCM(5772,3495) = ( 5772 × 3495 ) / 3

LCM(5772,3495) = 20173140 / 3

LCM(5772,3495) = 6724380


Lets's calculate GCF of 736,9830

2 736, 9830
368, 4915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6724380/2

Therefore the LCM of Fractions 5772/736,3495/9830 is 3362190

Greatest Common Factor of 736,9830 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,9830 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 9830

List of positive integer factors of 9830 that divides 9830 without a remainder.

1,2,5,10,983,1966,4915,9830

Greatest Common Factor

We found the factors 736,9830 . The biggest common factor number is the GCF number.
So the greatest common factor 736,9830 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 5772/736, 3495/9830

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 5772/736, 3495/9830?

Answer: LCM of Numerators as per given numbers 5772/736, 3495/9830 is

LCM of Numerators i.e. for 5772,3495 is 6724380

GCF of denominators i.e. for 736,9830 is 2.

Thus, LCM of Fractions is 3362190.Finally, LCM of Fractions for 5772/736, 3495/9830 is 3362190.