Least Common Multiple of 830/16, 103/77, 415/83

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 830/16, 103/77, 415/83 quickly i.e. 85490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 830/16, 103/77, 415/83 is 85490.

LCM(830/16, 103/77, 415/83) = 85490

LCM of 830/16, 103/77, 415/83

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 830/16,103/77,415/83

Given numbers are 830/16,103/77,415/83

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 830,103,415

Least Common Multiple of Numerators i.e. LCM of 830,103,415 is 85490.

GCF of Denominators means GCF of 16,77,83 as per the given fractions.

GCF of 16,77,83 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 830,103,415

LCM of Fractions 830/16,103/77,415/83 is 85490

5 830, 103, 415
83 166, 103, 83
2, 103, 1

∴ So the LCM of the given numbers is 5 x 83 x 2 x 103 x 1 = 85490

Least Common Multiple of 830,103,415 with GCF Formula

Least Common Multiple of 830,103,415 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 830,103,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,103,415) = 1

common factors(in case of two or more numbers have common factors) = 415

GCF(830,103,415) x common factors =1 x 415 = 415

LCM(830,103,415) = ( 830 × 103 × 415 ) / 415

LCM(830,103,415) = 35478350 / 415

LCM(830,103,415) = 85490


Lets's calculate GCF of 16,77,83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85490/1

Therefore the LCM of Fractions 830/16,103/77,415/83 is 85490

Greatest Common Factor of 16,77,83 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,77,83 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Greatest Common Factor

We found the factors 16,77,83 . The biggest common factor number is the GCF number.
So the greatest common factor 16,77,83 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 830/16, 103/77, 415/83

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 830/16, 103/77, 415/83?

Answer: LCM of Numerators as per given numbers 830/16, 103/77, 415/83 is

LCM of Numerators i.e. for 830,103,415 is 85490

GCF of denominators i.e. for 16,77,83 is 1.

Thus, LCM of Fractions is 85490.Finally, LCM of Fractions for 830/16, 103/77, 415/83 is 85490.