Least Common Multiple of 783/94, 413/30, 838/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 783/94, 413/30, 838/229 quickly i.e. 270991602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 783/94, 413/30, 838/229 is 270991602.

LCM(783/94, 413/30, 838/229) = 270991602

LCM of 783/94, 413/30, 838/229

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 783/94,413/30,838/229

Given numbers are 783/94,413/30,838/229

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 783,413,838

Least Common Multiple of Numerators i.e. LCM of 783,413,838 is 270991602.

GCF of Denominators means GCF of 94,30,229 as per the given fractions.

GCF of 94,30,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 783,413,838

LCM of Fractions 783/94,413/30,838/229 is 270991602

Given numbers has no common factors except 1. So, there LCM is their product i.e 270991602

Least Common Multiple of 783,413,838 with GCF Formula

Least Common Multiple of 783,413,838 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 783,413,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,413,838) = 1

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

GCF(783,413,838) x common factors =1 x 1 = 1

LCM(783,413,838) = ( 783 × 413 × 838 ) / 1

LCM(783,413,838) = 270991602 / 1

LCM(783,413,838) = 270991602


Lets's calculate GCF of 94,30,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270991602/1

Therefore the LCM of Fractions 783/94,413/30,838/229 is 270991602

Greatest Common Factor of 94,30,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,30,229 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 94,30,229 . The biggest common factor number is the GCF number.
So the greatest common factor 94,30,229 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 783/94, 413/30, 838/229

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 783/94, 413/30, 838/229?

Answer: LCM of Numerators as per given numbers 783/94, 413/30, 838/229 is

LCM of Numerators i.e. for 783,413,838 is 270991602

GCF of denominators i.e. for 94,30,229 is 1.

Thus, LCM of Fractions is 270991602.Finally, LCM of Fractions for 783/94, 413/30, 838/229 is 270991602.