Least Common Multiple of 146/391, 304/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/391, 304/930 quickly i.e. 22192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/391, 304/930 is 22192.

LCM(146/391, 304/930) = 22192

LCM of 146/391, 304/930

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 146/391,304/930

Given numbers are 146/391,304/930

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 146,304

Least Common Multiple of Numerators i.e. LCM of 146,304 is 22192.

GCF of Denominators means GCF of 391,930 as per the given fractions.

GCF of 391,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,304

LCM of Fractions 146/391,304/930 is 22192

2 146, 304
73, 152

∴ So the LCM of the given numbers is 2 x 73 x 152 = 22192

Least Common Multiple of 146,304 with GCF Formula

Least Common Multiple of 146,304 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 146,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,304) = 2

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

GCF(146,304) x common factors =2 x 1 = 2

LCM(146,304) = ( 146 × 304 ) / 2

LCM(146,304) = 44384 / 2

LCM(146,304) = 22192


Lets's calculate GCF of 391,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22192/1

Therefore the LCM of Fractions 146/391,304/930 is 22192

Greatest Common Factor of 391,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,930 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

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

Greatest Common Factor

We found the factors 391,930 . The biggest common factor number is the GCF number.
So the greatest common factor 391,930 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 146/391, 304/930

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 146/391, 304/930?

Answer: LCM of Numerators as per given numbers 146/391, 304/930 is

LCM of Numerators i.e. for 146,304 is 22192

GCF of denominators i.e. for 391,930 is 1.

Thus, LCM of Fractions is 22192.Finally, LCM of Fractions for 146/391, 304/930 is 22192.