Least Common Multiple of 79/730, 11/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/730, 11/830 quickly i.e. 869/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/730, 11/830 is 869/10.

LCM(79/730, 11/830) = 869/10

LCM of 79/730, 11/830

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 79/730,11/830

Given numbers are 79/730,11/830

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 79,11

Least Common Multiple of Numerators i.e. LCM of 79,11 is 869.

GCF of Denominators means GCF of 730,830 as per the given fractions.

GCF of 730,830 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,11

LCM of Fractions 79/730,11/830 is 869/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 869

Least Common Multiple of 79,11 with GCF Formula

Least Common Multiple of 79,11 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 79,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,11) = 1

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

GCF(79,11) x common factors =1 x 1 = 1

LCM(79,11) = ( 79 × 11 ) / 1

LCM(79,11) = 869 / 1

LCM(79,11) = 869


Lets's calculate GCF of 730,830

2 730, 830
5 365, 415
73, 83

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 869/10

Therefore the LCM of Fractions 79/730,11/830 is 869/10

Greatest Common Factor of 730,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,830 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 730,830 . The biggest common factor number is the GCF number.
So the greatest common factor 730,830 is 10.


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 79/730, 11/830

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 79/730, 11/830?

Answer: LCM of Numerators as per given numbers 79/730, 11/830 is

LCM of Numerators i.e. for 79,11 is 869

GCF of denominators i.e. for 730,830 is 10.

Thus, LCM of Fractions is 869/10.Finally, LCM of Fractions for 79/730, 11/830 is 869/10.