Least Common Multiple of 30/17, 394/56, 169/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/17, 394/56, 169/376 quickly i.e. 998790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/17, 394/56, 169/376 is 998790.

LCM(30/17, 394/56, 169/376) = 998790

LCM of 30/17, 394/56, 169/376

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 30/17,394/56,169/376

Given numbers are 30/17,394/56,169/376

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 30,394,169

Least Common Multiple of Numerators i.e. LCM of 30,394,169 is 998790.

GCF of Denominators means GCF of 17,56,376 as per the given fractions.

GCF of 17,56,376 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,394,169

LCM of Fractions 30/17,394/56,169/376 is 998790

2 30, 394, 169
15, 197, 169

∴ So the LCM of the given numbers is 2 x 15 x 197 x 169 = 998790

Least Common Multiple of 30,394,169 with GCF Formula

Least Common Multiple of 30,394,169 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 30,394,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,394,169) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(30,394,169) x common factors =1 x 2 = 2

LCM(30,394,169) = ( 30 × 394 × 169 ) / 2

LCM(30,394,169) = 1997580 / 2

LCM(30,394,169) = 998790


Lets's calculate GCF of 17,56,376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 998790/1

Therefore the LCM of Fractions 30/17,394/56,169/376 is 998790

Greatest Common Factor of 17,56,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,56,376 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 17,56,376 . The biggest common factor number is the GCF number.
So the greatest common factor 17,56,376 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 30/17, 394/56, 169/376

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 30/17, 394/56, 169/376?

Answer: LCM of Numerators as per given numbers 30/17, 394/56, 169/376 is

LCM of Numerators i.e. for 30,394,169 is 998790

GCF of denominators i.e. for 17,56,376 is 1.

Thus, LCM of Fractions is 998790.Finally, LCM of Fractions for 30/17, 394/56, 169/376 is 998790.