Least Common Multiple of 930/45, 7418/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 930/45, 7418/321 quickly i.e. 1149790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/45, 7418/321 is 1149790.

LCM(930/45, 7418/321) = 1149790

LCM of 930/45, 7418/321

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 930/45,7418/321

Given numbers are 930/45,7418/321

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 930,7418

Least Common Multiple of Numerators i.e. LCM of 930,7418 is 3449370.

GCF of Denominators means GCF of 45,321 as per the given fractions.

GCF of 45,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,7418

LCM of Fractions 930/45,7418/321 is 1149790

2 930, 7418
465, 3709

∴ So the LCM of the given numbers is 2 x 465 x 3709 = 3449370

Least Common Multiple of 930,7418 with GCF Formula

Least Common Multiple of 930,7418 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 930,7418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,7418) = 2

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

GCF(930,7418) x common factors =2 x 1 = 2

LCM(930,7418) = ( 930 × 7418 ) / 2

LCM(930,7418) = 6898740 / 2

LCM(930,7418) = 3449370


Lets's calculate GCF of 45,321

3 45, 321
15, 107

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3449370/3

Therefore the LCM of Fractions 930/45,7418/321 is 1149790

Greatest Common Factor of 45,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,321 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 45,321 . The biggest common factor number is the GCF number.
So the greatest common factor 45,321 is 3.


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 930/45, 7418/321

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 930/45, 7418/321?

Answer: LCM of Numerators as per given numbers 930/45, 7418/321 is

LCM of Numerators i.e. for 930,7418 is 3449370

GCF of denominators i.e. for 45,321 is 3.

Thus, LCM of Fractions is 1149790.Finally, LCM of Fractions for 930/45, 7418/321 is 1149790.