Least Common Multiple of 5730/986, 9153/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5730/986, 9153/832 quickly i.e. 8741115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5730/986, 9153/832 is 8741115.

LCM(5730/986, 9153/832) = 8741115

LCM of 5730/986, 9153/832

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 5730/986,9153/832

Given numbers are 5730/986,9153/832

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 5730,9153

Least Common Multiple of Numerators i.e. LCM of 5730,9153 is 17482230.

GCF of Denominators means GCF of 986,832 as per the given fractions.

GCF of 986,832 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5730,9153

LCM of Fractions 5730/986,9153/832 is 8741115

3 5730, 9153
1910, 3051

∴ So the LCM of the given numbers is 3 x 1910 x 3051 = 17482230

Least Common Multiple of 5730,9153 with GCF Formula

Least Common Multiple of 5730,9153 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 5730,9153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5730,9153) = 3

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

GCF(5730,9153) x common factors =3 x 1 = 3

LCM(5730,9153) = ( 5730 × 9153 ) / 3

LCM(5730,9153) = 52446690 / 3

LCM(5730,9153) = 17482230


Lets's calculate GCF of 986,832

2 986, 832
493, 416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17482230/2

Therefore the LCM of Fractions 5730/986,9153/832 is 8741115

Greatest Common Factor of 986,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,832 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 986,832 . The biggest common factor number is the GCF number.
So the greatest common factor 986,832 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 5730/986, 9153/832

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 5730/986, 9153/832?

Answer: LCM of Numerators as per given numbers 5730/986, 9153/832 is

LCM of Numerators i.e. for 5730,9153 is 17482230

GCF of denominators i.e. for 986,832 is 2.

Thus, LCM of Fractions is 8741115.Finally, LCM of Fractions for 5730/986, 9153/832 is 8741115.