Least Common Multiple of 7/930, 89/319, 82/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/930, 89/319, 82/830 quickly i.e. 51086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/930, 89/319, 82/830 is 51086.

LCM(7/930, 89/319, 82/830) = 51086

LCM of 7/930, 89/319, 82/830

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 7/930,89/319,82/830

Given numbers are 7/930,89/319,82/830

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 7,89,82

Least Common Multiple of Numerators i.e. LCM of 7,89,82 is 51086.

GCF of Denominators means GCF of 930,319,830 as per the given fractions.

GCF of 930,319,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,89,82

LCM of Fractions 7/930,89/319,82/830 is 51086

Given numbers has no common factors except 1. So, there LCM is their product i.e 51086

Least Common Multiple of 7,89,82 with GCF Formula

Least Common Multiple of 7,89,82 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 7,89,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,89,82) = 1

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

GCF(7,89,82) x common factors =1 x 1 = 1

LCM(7,89,82) = ( 7 × 89 × 82 ) / 1

LCM(7,89,82) = 51086 / 1

LCM(7,89,82) = 51086


Lets's calculate GCF of 930,319,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51086/1

Therefore the LCM of Fractions 7/930,89/319,82/830 is 51086

Greatest Common Factor of 930,319,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,319,830 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

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 930,319,830 . The biggest common factor number is the GCF number.
So the greatest common factor 930,319,830 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 7/930, 89/319, 82/830

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 7/930, 89/319, 82/830?

Answer: LCM of Numerators as per given numbers 7/930, 89/319, 82/830 is

LCM of Numerators i.e. for 7,89,82 is 51086

GCF of denominators i.e. for 930,319,830 is 1.

Thus, LCM of Fractions is 51086.Finally, LCM of Fractions for 7/930, 89/319, 82/830 is 51086.